\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  119.0 & -6.00 x_{1} & -9.00 x_{2} & -10.00 x_{3} & -4.00 x_{4} & -8.00 x_{5} & +  3.00 x_{6} & -10.00 x_{7} & -3.00 x_{8} & -10.00 x_{9} & -5.00 x_{10} & +  1.00 x_{11} & +  9.00 x_{12} & +  6.00 x_{13} & -9.00 x_{14} & -9.00 x_{15} & -7.00 x_{16}\\
 x_{18}   &  60.0 & -2.00 x_{1} & -6.00 x_{2} & +  7.00 x_{3} & +  9.00 x_{4} & -1.00 x_{5} & +  1.00 x_{6} & -4.00 x_{7} & -6.00 x_{8} & +  5.00 x_{9} & +  1.00 x_{10} & -10.00 x_{11} & -1.00 x_{12} & +  3.00 x_{13} & -10.00 x_{14} & -5.00 x_{15} & -8.00 x_{16}\\
 x_{19}   &  21.0 & +  7.00 x_{1} & -7.00 x_{2} & -9.00 x_{3} & +  8.00 x_{4} & +  4.00 x_{5} & +  9.00 x_{6} & -8.00 x_{7} & -6.00 x_{8} & -9.00 x_{9} & +  6.00 x_{10} & +  1.00 x_{11} & +  5.00 x_{12} & +  6.00 x_{13} & -2.00 x_{14} & -2.00 x_{15} &   \\
 x_{20}   &  87.0 & -9.00 x_{1} & + 10.00 x_{2} & -1.00 x_{3} & -8.00 x_{4} & +  3.00 x_{5} & +  1.00 x_{6} & +  2.00 x_{7} & + 10.00 x_{8} & +  3.00 x_{9} & +  1.00 x_{10} & -10.00 x_{11} & -8.00 x_{12} & -6.00 x_{13} & -5.00 x_{14} & -1.00 x_{15} & -10.00 x_{16}\\
 x_{21}   &  -9.0 & -5.00 x_{1} & +  4.00 x_{2} & -4.00 x_{3} & -6.00 x_{4} & +  7.00 x_{5} & -6.00 x_{6} & +  5.00 x_{7} & -3.00 x_{8} & -1.00 x_{9} & -6.00 x_{10} & -4.00 x_{11} & +  6.00 x_{12} & -2.00 x_{13} & +  7.00 x_{14} & -2.00 x_{15} & +  5.00 x_{16}\\
 x_{22}   &  5.0  &   & -10.00 x_{2} & -5.00 x_{3} & -3.00 x_{4} & +  1.00 x_{5} &   & -5.00 x_{7} & +  4.00 x_{8} & -5.00 x_{9} & -4.00 x_{10} & +  8.00 x_{11} & +  2.00 x_{12} & -6.00 x_{13} & + 10.00 x_{14} & +  9.00 x_{15} & -7.00 x_{16}\\
 x_{23}   &  -15.0 & -3.00 x_{1} & -3.00 x_{2} & -8.00 x_{3} & +  4.00 x_{4} & +  5.00 x_{5} & +  8.00 x_{6} & -2.00 x_{7} & -5.00 x_{8} & -7.00 x_{9} & + 10.00 x_{10} & +  1.00 x_{11} & +  7.00 x_{12} & -7.00 x_{13} & +  1.00 x_{14} & + 10.00 x_{15} & +  2.00 x_{16}\\
 x_{24}   &  57.0  &   & -8.00 x_{2} & -5.00 x_{3} & +  7.00 x_{4} & -8.00 x_{5} & +  4.00 x_{6} & +  5.00 x_{7} & -3.00 x_{8} & -5.00 x_{9} & -1.00 x_{10} & +  5.00 x_{11} & -7.00 x_{12} & -9.00 x_{13} & -1.00 x_{14} & -5.00 x_{15} & -7.00 x_{16}\\
 x_{25}   &  -11.0 & +  9.00 x_{1} & +  1.00 x_{2} & +  6.00 x_{3} & +  1.00 x_{4} & -2.00 x_{5} & -8.00 x_{6} & -1.00 x_{7} & +  2.00 x_{8} &   & -7.00 x_{10} & -9.00 x_{11} & +  2.00 x_{12} & -1.00 x_{13} & +  8.00 x_{14} & +  7.00 x_{15} & -3.00 x_{16}\\
 x_{26}   &  -8.0 & -9.00 x_{1} & -4.00 x_{2} & -7.00 x_{3} & +  8.00 x_{4} & +  5.00 x_{5} & + 10.00 x_{6} & +  6.00 x_{7} & +  7.00 x_{8} & +  9.00 x_{9} & +  7.00 x_{10} & -2.00 x_{11} & +  1.00 x_{12} & +  9.00 x_{13} & +  9.00 x_{14} & + 10.00 x_{15} & -7.00 x_{16}\\
 x_{27}   &  -6.0 & -4.00 x_{1} & +  8.00 x_{2} & -9.00 x_{3} & +  7.00 x_{4} & + 10.00 x_{5} & +  2.00 x_{6} & +  8.00 x_{7} & +  2.00 x_{8} & +  8.00 x_{9} & +  9.00 x_{10} & +  6.00 x_{11} & + 10.00 x_{12} & +  4.00 x_{13} &   & -2.00 x_{15} & -5.00 x_{16}\\
 x_{28}   &  -64.0 & + 10.00 x_{1} & -3.00 x_{2} & +  8.00 x_{3} & -9.00 x_{4} & +  9.00 x_{5} & +  8.00 x_{6} & +  1.00 x_{7} & +  4.00 x_{8} & -5.00 x_{9} & -7.00 x_{10} & -3.00 x_{11} &   & +  3.00 x_{13} & +  7.00 x_{14} & -1.00 x_{15} & -1.00 x_{16}\\
 x_{29}   &  34.0 & +  9.00 x_{1} & +  1.00 x_{2} & -6.00 x_{3} & +  5.00 x_{4} & +  7.00 x_{5} & + 10.00 x_{6} & -8.00 x_{7} & -5.00 x_{8} & -5.00 x_{9} & +  8.00 x_{10} & -2.00 x_{11} & +  2.00 x_{12} & -6.00 x_{13} & +  5.00 x_{14} & -8.00 x_{15} & -1.00 x_{16}\\
 x_{30}   &  -87.0 & + 10.00 x_{1} & + 10.00 x_{2} & +  7.00 x_{3} & -6.00 x_{4} & -6.00 x_{5} & -7.00 x_{6} & +  8.00 x_{7} & +  3.00 x_{8} & +  7.00 x_{9} & +  4.00 x_{10} & +  2.00 x_{11} & + 10.00 x_{12} & +  1.00 x_{13} & +  3.00 x_{14} & +  9.00 x_{15} & -6.00 x_{16}\\
 x_{31}   &  34.0 & -2.00 x_{1} & -2.00 x_{2} & +  7.00 x_{3} & +  7.00 x_{4} & -8.00 x_{5} & -4.00 x_{6} & -8.00 x_{7} & +  5.00 x_{8} & +  9.00 x_{9} & -3.00 x_{10} & +  9.00 x_{11} & -9.00 x_{12} & -7.00 x_{13} & -7.00 x_{14} & + 10.00 x_{15} & -8.00 x_{16}\\
 x_{32}   &  70.0 & +  5.00 x_{1} & -1.00 x_{2} & +  3.00 x_{3} & +  7.00 x_{4} & + 10.00 x_{5} & -6.00 x_{6} & -3.00 x_{7} & -8.00 x_{8} & -10.00 x_{9} & +  1.00 x_{10} & +  5.00 x_{11} & +  6.00 x_{12} & -8.00 x_{13} & -10.00 x_{14} & -6.00 x_{15} & -9.00 x_{16}\\
\hline
z    &  0.0 & -3.00 x_{1} & -2.00 x_{2} & -5.00 x_{3} & +  5.00 x_{4} & +  4.00 x_{5} & -5.00 x_{6} & -5.00 x_{7} & +  2.00 x_{8} & -2.00 x_{9} & +  4.00 x_{10} & +  5.00 x_{11} & -3.00 x_{12} & -3.00 x_{13} & +  4.00 x_{14} & -1.00 x_{15} & +  3.00 x_{16}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{16}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,32$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  6.00 y_{17} & +  2.00 y_{18} & -7.00 y_{19} & +  9.00 y_{20} & +  5.00 y_{21} &   & +  3.00 y_{23} &   & -9.00 y_{25} & +  9.00 y_{26} & +  4.00 y_{27} & -10.00 y_{28} & -9.00 y_{29} & -10.00 y_{30} & +  2.00 y_{31} & -5.00 y_{32}\\
 y_{2}   &  1.0 & +  9.00 y_{17} & +  6.00 y_{18} & +  7.00 y_{19} & -10.00 y_{20} & -4.00 y_{21} & + 10.00 y_{22} & +  3.00 y_{23} & +  8.00 y_{24} & -1.00 y_{25} & +  4.00 y_{26} & -8.00 y_{27} & +  3.00 y_{28} & -1.00 y_{29} & -10.00 y_{30} & +  2.00 y_{31} & +  1.00 y_{32}\\
 y_{3}   &  1.0 & + 10.00 y_{17} & -7.00 y_{18} & +  9.00 y_{19} & +  1.00 y_{20} & +  4.00 y_{21} & +  5.00 y_{22} & +  8.00 y_{23} & +  5.00 y_{24} & -6.00 y_{25} & +  7.00 y_{26} & +  9.00 y_{27} & -8.00 y_{28} & +  6.00 y_{29} & -7.00 y_{30} & -7.00 y_{31} & -3.00 y_{32}\\
 y_{4}   &  1.0 & +  4.00 y_{17} & -9.00 y_{18} & -8.00 y_{19} & +  8.00 y_{20} & +  6.00 y_{21} & +  3.00 y_{22} & -4.00 y_{23} & -7.00 y_{24} & -1.00 y_{25} & -8.00 y_{26} & -7.00 y_{27} & +  9.00 y_{28} & -5.00 y_{29} & +  6.00 y_{30} & -7.00 y_{31} & -7.00 y_{32}\\
 y_{5}   &  1.0 & +  8.00 y_{17} & +  1.00 y_{18} & -4.00 y_{19} & -3.00 y_{20} & -7.00 y_{21} & -1.00 y_{22} & -5.00 y_{23} & +  8.00 y_{24} & +  2.00 y_{25} & -5.00 y_{26} & -10.00 y_{27} & -9.00 y_{28} & -7.00 y_{29} & +  6.00 y_{30} & +  8.00 y_{31} & -10.00 y_{32}\\
 y_{6}   &  1.0 & -3.00 y_{17} & -1.00 y_{18} & -9.00 y_{19} & -1.00 y_{20} & +  6.00 y_{21} &   & -8.00 y_{23} & -4.00 y_{24} & +  8.00 y_{25} & -10.00 y_{26} & -2.00 y_{27} & -8.00 y_{28} & -10.00 y_{29} & +  7.00 y_{30} & +  4.00 y_{31} & +  6.00 y_{32}\\
 y_{7}   &  1.0 & + 10.00 y_{17} & +  4.00 y_{18} & +  8.00 y_{19} & -2.00 y_{20} & -5.00 y_{21} & +  5.00 y_{22} & +  2.00 y_{23} & -5.00 y_{24} & +  1.00 y_{25} & -6.00 y_{26} & -8.00 y_{27} & -1.00 y_{28} & +  8.00 y_{29} & -8.00 y_{30} & +  8.00 y_{31} & +  3.00 y_{32}\\
 y_{8}   &  1.0 & +  3.00 y_{17} & +  6.00 y_{18} & +  6.00 y_{19} & -10.00 y_{20} & +  3.00 y_{21} & -4.00 y_{22} & +  5.00 y_{23} & +  3.00 y_{24} & -2.00 y_{25} & -7.00 y_{26} & -2.00 y_{27} & -4.00 y_{28} & +  5.00 y_{29} & -3.00 y_{30} & -5.00 y_{31} & +  8.00 y_{32}\\
 y_{9}   &  1.0 & + 10.00 y_{17} & -5.00 y_{18} & +  9.00 y_{19} & -3.00 y_{20} & +  1.00 y_{21} & +  5.00 y_{22} & +  7.00 y_{23} & +  5.00 y_{24} &   & -9.00 y_{26} & -8.00 y_{27} & +  5.00 y_{28} & +  5.00 y_{29} & -7.00 y_{30} & -9.00 y_{31} & + 10.00 y_{32}\\
 y_{10}   &  1.0 & +  5.00 y_{17} & -1.00 y_{18} & -6.00 y_{19} & -1.00 y_{20} & +  6.00 y_{21} & +  4.00 y_{22} & -10.00 y_{23} & +  1.00 y_{24} & +  7.00 y_{25} & -7.00 y_{26} & -9.00 y_{27} & +  7.00 y_{28} & -8.00 y_{29} & -4.00 y_{30} & +  3.00 y_{31} & -1.00 y_{32}\\
 y_{11}   &  1.0 & -1.00 y_{17} & + 10.00 y_{18} & -1.00 y_{19} & + 10.00 y_{20} & +  4.00 y_{21} & -8.00 y_{22} & -1.00 y_{23} & -5.00 y_{24} & +  9.00 y_{25} & +  2.00 y_{26} & -6.00 y_{27} & +  3.00 y_{28} & +  2.00 y_{29} & -2.00 y_{30} & -9.00 y_{31} & -5.00 y_{32}\\
 y_{12}   &  1.0 & -9.00 y_{17} & +  1.00 y_{18} & -5.00 y_{19} & +  8.00 y_{20} & -6.00 y_{21} & -2.00 y_{22} & -7.00 y_{23} & +  7.00 y_{24} & -2.00 y_{25} & -1.00 y_{26} & -10.00 y_{27} &   & -2.00 y_{29} & -10.00 y_{30} & +  9.00 y_{31} & -6.00 y_{32}\\
 y_{13}   &  1.0 & -6.00 y_{17} & -3.00 y_{18} & -6.00 y_{19} & +  6.00 y_{20} & +  2.00 y_{21} & +  6.00 y_{22} & +  7.00 y_{23} & +  9.00 y_{24} & +  1.00 y_{25} & -9.00 y_{26} & -4.00 y_{27} & -3.00 y_{28} & +  6.00 y_{29} & -1.00 y_{30} & +  7.00 y_{31} & +  8.00 y_{32}\\
 y_{14}   &  1.0 & +  9.00 y_{17} & + 10.00 y_{18} & +  2.00 y_{19} & +  5.00 y_{20} & -7.00 y_{21} & -10.00 y_{22} & -1.00 y_{23} & +  1.00 y_{24} & -8.00 y_{25} & -9.00 y_{26} &   & -7.00 y_{28} & -5.00 y_{29} & -3.00 y_{30} & +  7.00 y_{31} & + 10.00 y_{32}\\
 y_{15}   &  1.0 & +  9.00 y_{17} & +  5.00 y_{18} & +  2.00 y_{19} & +  1.00 y_{20} & +  2.00 y_{21} & -9.00 y_{22} & -10.00 y_{23} & +  5.00 y_{24} & -7.00 y_{25} & -10.00 y_{26} & +  2.00 y_{27} & +  1.00 y_{28} & +  8.00 y_{29} & -9.00 y_{30} & -10.00 y_{31} & +  6.00 y_{32}\\
 y_{16}   &  1.0 & +  7.00 y_{17} & +  8.00 y_{18} &   & + 10.00 y_{20} & -5.00 y_{21} & +  7.00 y_{22} & -2.00 y_{23} & +  7.00 y_{24} & +  3.00 y_{25} & +  7.00 y_{26} & +  5.00 y_{27} & +  1.00 y_{28} & +  1.00 y_{29} & +  6.00 y_{30} & +  8.00 y_{31} & +  9.00 y_{32}\\
\hline
z    &  -0 & -119.00 y_{17} & -60.00 y_{18} & -21.00 y_{19} & -87.00 y_{20} & +  9.00 y_{21} & -5.00 y_{22} & + 15.00 y_{23} & -57.00 y_{24} & + 11.00 y_{25} & +  8.00 y_{26} & +  6.00 y_{27} & + 64.00 y_{28} & -34.00 y_{29} & + 87.00 y_{30} & -34.00 y_{31} & -70.00 y_{32}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 20 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{31}   &  0.0427424366447 & +  2.31 y_{17} & -1.12 y_{18} & -1.78 y_{19} & +  1.37 y_{20} & -0.05 y_{1} & -0.05 y_{22} & -0.16 y_{5} & +  1.23 y_{24} & +  0.11 y_{14} & +  0.05 y_{12} & +  0.22 y_{8} & -0.22 y_{15} & -0.18 y_{29} & -0.21 y_{25} & -3.46 y_{23} & -3.02 y_{32}\\
 y_{2}   &  0.279409550456 & +  7.80 y_{17} & + 15.28 y_{18} & + 24.36 y_{19} & -28.44 y_{20} & +  0.33 y_{1} & +  8.96 y_{22} & +  0.79 y_{5} & -4.26 y_{24} & -0.87 y_{14} & +  0.70 y_{12} & -1.53 y_{8} & +  1.29 y_{15} & +  1.95 y_{29} & +  0.81 y_{25} & + 30.52 y_{23} & + 28.04 y_{32}\\
 y_{3}   &  0.203993637775 & -17.45 y_{17} & -1.50 y_{18} & + 27.49 y_{19} & -20.22 y_{20} & +  1.19 y_{1} & +  7.56 y_{22} & +  1.05 y_{5} & -0.79 y_{24} & -0.51 y_{14} & -0.71 y_{12} & -2.01 y_{8} & +  1.79 y_{15} & + 15.89 y_{29} & +  5.62 y_{25} & + 32.07 y_{23} & + 19.65 y_{32}\\
 y_{4}   &  1.58859617664 & + 29.81 y_{17} & -13.61 y_{18} & -31.18 y_{19} & + 41.91 y_{20} & -1.10 y_{1} & -1.42 y_{22} & -1.05 y_{5} & -2.44 y_{24} & -0.20 y_{14} & +  0.44 y_{12} & +  2.82 y_{8} & -1.51 y_{15} & -24.36 y_{29} & -14.40 y_{25} & -32.21 y_{23} & -31.86 y_{32}\\
 y_{7}   &  0.00544786068807 & + 20.78 y_{17} & -3.41 y_{18} & +  3.44 y_{19} & -0.76 y_{20} & -0.25 y_{1} & +  9.73 y_{22} & -0.45 y_{5} & -7.84 y_{24} & +  0.48 y_{14} & +  0.86 y_{12} & +  0.91 y_{8} & -0.55 y_{15} & +  6.61 y_{29} & +  3.17 y_{25} & -3.10 y_{23} & -6.38 y_{32}\\
 y_{6}   &  0.660116458288 & + 19.32 y_{17} & -22.84 y_{18} & -44.50 y_{19} & + 42.08 y_{20} & -0.73 y_{1} & +  1.29 y_{22} & -1.75 y_{5} & + 10.30 y_{24} & +  1.34 y_{14} & +  0.09 y_{12} & +  4.60 y_{8} & -3.22 y_{15} & -19.14 y_{29} & +  2.54 y_{25} & -67.80 y_{23} & -45.52 y_{32}\\
 y_{27}   &  0.0534930642437 & -0.50 y_{17} & -0.42 y_{18} & -0.30 y_{19} & -0.58 y_{20} & +  0.01 y_{1} & +  0.40 y_{22} & -0.05 y_{5} & +  0.76 y_{24} & +  0.07 y_{14} & -0.04 y_{12} & -0.03 y_{8} & -0.01 y_{15} & +  0.22 y_{29} & +  0.55 y_{25} & -0.40 y_{23} & -1.15 y_{32}\\
 y_{21}   &  0.0274884267181 & +  2.93 y_{17} & -1.26 y_{18} & -2.70 y_{19} & +  3.20 y_{20} & -0.05 y_{1} & -0.41 y_{22} & -0.19 y_{5} & +  1.37 y_{24} & +  0.06 y_{14} & +  0.04 y_{12} & +  0.37 y_{8} & -0.27 y_{15} & -1.10 y_{29} & -0.60 y_{25} & -4.98 y_{23} & -3.86 y_{32}\\
 y_{9}   &  0.0327309660234 & + 11.21 y_{17} & -4.02 y_{18} & +  8.92 y_{19} & +  1.73 y_{20} & -0.29 y_{1} & +  8.26 y_{22} & +  0.32 y_{5} & -5.65 y_{24} & -0.73 y_{14} & +  0.50 y_{12} & +  0.25 y_{8} & +  0.92 y_{15} & -6.53 y_{29} & -1.14 y_{25} & + 20.15 y_{23} & + 14.59 y_{32}\\
 y_{10}   &  1.07379798019 & + 50.89 y_{17} & -16.48 y_{18} & -39.85 y_{19} & + 37.19 y_{20} & -1.15 y_{1} & +  1.57 y_{22} & -2.41 y_{5} & + 12.10 y_{24} & +  0.68 y_{14} & +  1.31 y_{12} & +  4.58 y_{8} & -3.09 y_{15} & -27.40 y_{29} & -2.95 y_{25} & -62.54 y_{23} & -47.95 y_{32}\\
 y_{11}   &  0.61713584884 & -3.65 y_{17} & + 19.60 y_{18} & +  7.74 y_{19} & + 10.53 y_{20} & +  0.17 y_{1} & -12.60 y_{22} & +  0.84 y_{5} & -15.14 y_{24} & -1.32 y_{14} & +  0.13 y_{12} & -0.50 y_{8} & +  1.05 y_{15} & -2.85 y_{29} & +  4.92 y_{25} & + 15.33 y_{23} & + 15.94 y_{32}\\
 y_{26}   &  0.0238775080007 & -0.76 y_{17} & +  1.14 y_{18} & +  1.62 y_{19} & -1.46 y_{20} & +  0.05 y_{1} & -0.56 y_{22} & +  0.09 y_{5} & -0.50 y_{24} & -0.08 y_{14} & -0.01 y_{12} & -0.16 y_{8} & +  0.09 y_{15} & +  0.73 y_{29} & -0.03 y_{25} & +  1.86 y_{23} & +  2.61 y_{32}\\
 y_{13}   &  0.561953674021 & + 19.98 y_{17} & -22.22 y_{18} & -34.68 y_{19} & + 35.41 y_{20} & -0.73 y_{1} & +  9.16 y_{22} & -1.81 y_{5} & + 19.93 y_{24} & +  1.29 y_{14} & +  0.64 y_{12} & +  3.72 y_{8} & -2.68 y_{15} & -2.70 y_{29} & -1.60 y_{25} & -39.48 y_{23} & -36.51 y_{32}\\
 y_{30}   &  0.0660943219056 & -0.00 y_{17} & +  0.16 y_{18} & -0.35 y_{19} & +  0.83 y_{20} & -0.02 y_{1} & -0.35 y_{22} & +  0.02 y_{5} & +  0.27 y_{24} & -0.00 y_{14} & -0.04 y_{12} & +  0.02 y_{8} & -0.04 y_{15} & +  0.00 y_{29} & -0.57 y_{25} & -0.61 y_{23} & -0.11 y_{32}\\
 y_{28}   &  0.0990853616805 & +  1.64 y_{17} & +  0.04 y_{18} & -0.72 y_{19} & +  0.40 y_{20} & -0.06 y_{1} & -0.21 y_{22} & -0.08 y_{5} & +  0.52 y_{24} & +  0.01 y_{14} & +  0.04 y_{12} & +  0.05 y_{8} & -0.06 y_{15} & -0.74 y_{29} & -0.47 y_{25} & -0.76 y_{23} & -1.04 y_{32}\\
 y_{16}   &  2.1347565299 & +  4.63 y_{17} & + 12.27 y_{18} & +  6.31 y_{19} & -2.71 y_{20} & +  0.07 y_{1} & +  4.45 y_{22} & +  0.06 y_{5} & + 12.48 y_{24} & +  0.39 y_{14} & -0.29 y_{12} & -1.27 y_{8} & -0.10 y_{15} & + 10.53 y_{29} & +  2.89 y_{25} & +  1.80 y_{23} & + 15.00 y_{32}\\
\hline
z    &  11.3978005973 & -75.18 y_{17} & -10.19 y_{18} & -50.04 y_{19} & -21.77 y_{20} & -4.20 y_{1} & -52.48 y_{22} & -0.06 y_{5} & -28.95 y_{24} & -2.87 y_{14} & -2.34 y_{12} & -0.67 y_{8} & -1.27 y_{15} & -77.75 y_{29} & -64.47 y_{25} & -1.26 y_{23} & -64.00 y_{32}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  75.1762670383 & -2.31 x_{31} & -7.80 x_{2} & + 17.45 x_{3} & -29.81 x_{4} & -20.78 x_{7} & -19.32 x_{6} & +  0.50 x_{27} & -2.93 x_{21} & -11.21 x_{9} & -50.89 x_{10} & +  3.65 x_{11} & +  0.76 x_{26} & -19.98 x_{13} & +  0.00 x_{30} & -1.64 x_{28} & -4.63 x_{16}\\
 x_{18}   &  10.1921548068 & +  1.12 x_{31} & -15.28 x_{2} & +  1.50 x_{3} & + 13.61 x_{4} & +  3.41 x_{7} & + 22.84 x_{6} & +  0.42 x_{27} & +  1.26 x_{21} & +  4.02 x_{9} & + 16.48 x_{10} & -19.60 x_{11} & -1.14 x_{26} & + 22.22 x_{13} & -0.16 x_{30} & -0.04 x_{28} & -12.27 x_{16}\\
 x_{19}   &  50.0414379615 & +  1.78 x_{31} & -24.36 x_{2} & -27.49 x_{3} & + 31.18 x_{4} & -3.44 x_{7} & + 44.50 x_{6} & +  0.30 x_{27} & +  2.70 x_{21} & -8.92 x_{9} & + 39.85 x_{10} & -7.74 x_{11} & -1.62 x_{26} & + 34.68 x_{13} & +  0.35 x_{30} & +  0.72 x_{28} & -6.31 x_{16}\\
 x_{20}   &  21.7710680271 & -1.37 x_{31} & + 28.44 x_{2} & + 20.22 x_{3} & -41.91 x_{4} & +  0.76 x_{7} & -42.08 x_{6} & +  0.58 x_{27} & -3.20 x_{21} & -1.73 x_{9} & -37.19 x_{10} & -10.53 x_{11} & +  1.46 x_{26} & -35.41 x_{13} & -0.83 x_{30} & -0.40 x_{28} & +  2.71 x_{16}\\
 x_{1}   &  4.19782167701 & +  0.05 x_{31} & -0.33 x_{2} & -1.19 x_{3} & +  1.10 x_{4} & +  0.25 x_{7} & +  0.73 x_{6} & -0.01 x_{27} & +  0.05 x_{21} & +  0.29 x_{9} & +  1.15 x_{10} & -0.17 x_{11} & -0.05 x_{26} & +  0.73 x_{13} & +  0.02 x_{30} & +  0.06 x_{28} & -0.07 x_{16}\\
 x_{22}   &  52.4759527597 & +  0.05 x_{31} & -8.96 x_{2} & -7.56 x_{3} & +  1.42 x_{4} & -9.73 x_{7} & -1.29 x_{6} & -0.40 x_{27} & +  0.41 x_{21} & -8.26 x_{9} & -1.57 x_{10} & + 12.60 x_{11} & +  0.56 x_{26} & -9.16 x_{13} & +  0.35 x_{30} & +  0.21 x_{28} & -4.45 x_{16}\\
 x_{5}   &  0.0600537668261 & +  0.16 x_{31} & -0.79 x_{2} & -1.05 x_{3} & +  1.05 x_{4} & +  0.45 x_{7} & +  1.75 x_{6} & +  0.05 x_{27} & +  0.19 x_{21} & -0.32 x_{9} & +  2.41 x_{10} & -0.84 x_{11} & -0.09 x_{26} & +  1.81 x_{13} & -0.02 x_{30} & +  0.08 x_{28} & -0.06 x_{16}\\
 x_{24}   &  28.9501370178 & -1.23 x_{31} & +  4.26 x_{2} & +  0.79 x_{3} & +  2.44 x_{4} & +  7.84 x_{7} & -10.30 x_{6} & -0.76 x_{27} & -1.37 x_{21} & +  5.65 x_{9} & -12.10 x_{10} & + 15.14 x_{11} & +  0.50 x_{26} & -19.93 x_{13} & -0.27 x_{30} & -0.52 x_{28} & -12.48 x_{16}\\
 x_{14}   &  2.86764846789 & -0.11 x_{31} & +  0.87 x_{2} & +  0.51 x_{3} & +  0.20 x_{4} & -0.48 x_{7} & -1.34 x_{6} & -0.07 x_{27} & -0.06 x_{21} & +  0.73 x_{9} & -0.68 x_{10} & +  1.32 x_{11} & +  0.08 x_{26} & -1.29 x_{13} & +  0.00 x_{30} & -0.01 x_{28} & -0.39 x_{16}\\
 x_{12}   &  2.33850651964 & -0.05 x_{31} & -0.70 x_{2} & +  0.71 x_{3} & -0.44 x_{4} & -0.86 x_{7} & -0.09 x_{6} & +  0.04 x_{27} & -0.04 x_{21} & -0.50 x_{9} & -1.31 x_{10} & -0.13 x_{11} & +  0.01 x_{26} & -0.64 x_{13} & +  0.04 x_{30} & -0.04 x_{28} & +  0.29 x_{16}\\
 x_{8}   &  0.66830604384 & -0.22 x_{31} & +  1.53 x_{2} & +  2.01 x_{3} & -2.82 x_{4} & -0.91 x_{7} & -4.60 x_{6} & +  0.03 x_{27} & -0.37 x_{21} & -0.25 x_{9} & -4.58 x_{10} & +  0.50 x_{11} & +  0.16 x_{26} & -3.72 x_{13} & -0.02 x_{30} & -0.05 x_{28} & +  1.27 x_{16}\\
 x_{15}   &  1.26546412214 & +  0.22 x_{31} & -1.29 x_{2} & -1.79 x_{3} & +  1.51 x_{4} & +  0.55 x_{7} & +  3.22 x_{6} & +  0.01 x_{27} & +  0.27 x_{21} & -0.92 x_{9} & +  3.09 x_{10} & -1.05 x_{11} & -0.09 x_{26} & +  2.68 x_{13} & +  0.04 x_{30} & +  0.06 x_{28} & +  0.10 x_{16}\\
 x_{29}   &  77.7507836433 & +  0.18 x_{31} & -1.95 x_{2} & -15.89 x_{3} & + 24.36 x_{4} & -6.61 x_{7} & + 19.14 x_{6} & -0.22 x_{27} & +  1.10 x_{21} & +  6.53 x_{9} & + 27.40 x_{10} & +  2.85 x_{11} & -0.73 x_{26} & +  2.70 x_{13} & -0.00 x_{30} & +  0.74 x_{28} & -10.53 x_{16}\\
 x_{25}   &  64.4733492845 & +  0.21 x_{31} & -0.81 x_{2} & -5.62 x_{3} & + 14.40 x_{4} & -3.17 x_{7} & -2.54 x_{6} & -0.55 x_{27} & +  0.60 x_{21} & +  1.14 x_{9} & +  2.95 x_{10} & -4.92 x_{11} & +  0.03 x_{26} & +  1.60 x_{13} & +  0.57 x_{30} & +  0.47 x_{28} & -2.89 x_{16}\\
 x_{23}   &  1.25710891067 & +  3.46 x_{31} & -30.52 x_{2} & -32.07 x_{3} & + 32.21 x_{4} & +  3.10 x_{7} & + 67.80 x_{6} & +  0.40 x_{27} & +  4.98 x_{21} & -20.15 x_{9} & + 62.54 x_{10} & -15.33 x_{11} & -1.86 x_{26} & + 39.48 x_{13} & +  0.61 x_{30} & +  0.76 x_{28} & -1.80 x_{16}\\
 x_{32}   &  64.0049674087 & +  3.02 x_{31} & -28.04 x_{2} & -19.65 x_{3} & + 31.86 x_{4} & +  6.38 x_{7} & + 45.52 x_{6} & +  1.15 x_{27} & +  3.86 x_{21} & -14.59 x_{9} & + 47.95 x_{10} & -15.94 x_{11} & -2.61 x_{26} & + 36.51 x_{13} & +  0.11 x_{30} & +  1.04 x_{28} & -15.00 x_{16}\\
\hline
z    &  -11.3978005973 & -0.04 x_{31} & -0.28 x_{2} & -0.20 x_{3} & -1.59 x_{4} & -0.01 x_{7} & -0.66 x_{6} & -0.05 x_{27} & -0.03 x_{21} & -0.03 x_{9} & -1.07 x_{10} & -0.62 x_{11} & -0.02 x_{26} & -0.56 x_{13} & -0.07 x_{30} & -0.10 x_{28} & -2.13 x_{16}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  75.1762670383 & -2.31 x_{31} & -7.80 x_{2} & + 17.45 x_{3} & -29.81 x_{4} & -20.78 x_{7} & -19.32 x_{6} & +  0.50 x_{27} & -2.93 x_{21} & -11.21 x_{9} & -50.89 x_{10} & +  3.65 x_{11} & +  0.76 x_{26} & -19.98 x_{13} & +  0.00 x_{30} & -1.64 x_{28} & -4.63 x_{16}\\
 x_{18}   &  10.1921548068 & +  1.12 x_{31} & -15.28 x_{2} & +  1.50 x_{3} & + 13.61 x_{4} & +  3.41 x_{7} & + 22.84 x_{6} & +  0.42 x_{27} & +  1.26 x_{21} & +  4.02 x_{9} & + 16.48 x_{10} & -19.60 x_{11} & -1.14 x_{26} & + 22.22 x_{13} & -0.16 x_{30} & -0.04 x_{28} & -12.27 x_{16}\\
 x_{19}   &  50.0414379615 & +  1.78 x_{31} & -24.36 x_{2} & -27.49 x_{3} & + 31.18 x_{4} & -3.44 x_{7} & + 44.50 x_{6} & +  0.30 x_{27} & +  2.70 x_{21} & -8.92 x_{9} & + 39.85 x_{10} & -7.74 x_{11} & -1.62 x_{26} & + 34.68 x_{13} & +  0.35 x_{30} & +  0.72 x_{28} & -6.31 x_{16}\\
 x_{20}   &  21.7710680271 & -1.37 x_{31} & + 28.44 x_{2} & + 20.22 x_{3} & -41.91 x_{4} & +  0.76 x_{7} & -42.08 x_{6} & +  0.58 x_{27} & -3.20 x_{21} & -1.73 x_{9} & -37.19 x_{10} & -10.53 x_{11} & +  1.46 x_{26} & -35.41 x_{13} & -0.83 x_{30} & -0.40 x_{28} & +  2.71 x_{16}\\
 x_{1}   &  4.19782167701 & +  0.05 x_{31} & -0.33 x_{2} & -1.19 x_{3} & +  1.10 x_{4} & +  0.25 x_{7} & +  0.73 x_{6} & -0.01 x_{27} & +  0.05 x_{21} & +  0.29 x_{9} & +  1.15 x_{10} & -0.17 x_{11} & -0.05 x_{26} & +  0.73 x_{13} & +  0.02 x_{30} & +  0.06 x_{28} & -0.07 x_{16}\\
 x_{22}   &  52.4759527597 & +  0.05 x_{31} & -8.96 x_{2} & -7.56 x_{3} & +  1.42 x_{4} & -9.73 x_{7} & -1.29 x_{6} & -0.40 x_{27} & +  0.41 x_{21} & -8.26 x_{9} & -1.57 x_{10} & + 12.60 x_{11} & +  0.56 x_{26} & -9.16 x_{13} & +  0.35 x_{30} & +  0.21 x_{28} & -4.45 x_{16}\\
 x_{5}   &  0.0600537668261 & +  0.16 x_{31} & -0.79 x_{2} & -1.05 x_{3} & +  1.05 x_{4} & +  0.45 x_{7} & +  1.75 x_{6} & +  0.05 x_{27} & +  0.19 x_{21} & -0.32 x_{9} & +  2.41 x_{10} & -0.84 x_{11} & -0.09 x_{26} & +  1.81 x_{13} & -0.02 x_{30} & +  0.08 x_{28} & -0.06 x_{16}\\
 x_{24}   &  28.9501370178 & -1.23 x_{31} & +  4.26 x_{2} & +  0.79 x_{3} & +  2.44 x_{4} & +  7.84 x_{7} & -10.30 x_{6} & -0.76 x_{27} & -1.37 x_{21} & +  5.65 x_{9} & -12.10 x_{10} & + 15.14 x_{11} & +  0.50 x_{26} & -19.93 x_{13} & -0.27 x_{30} & -0.52 x_{28} & -12.48 x_{16}\\
 x_{14}   &  2.86764846789 & -0.11 x_{31} & +  0.87 x_{2} & +  0.51 x_{3} & +  0.20 x_{4} & -0.48 x_{7} & -1.34 x_{6} & -0.07 x_{27} & -0.06 x_{21} & +  0.73 x_{9} & -0.68 x_{10} & +  1.32 x_{11} & +  0.08 x_{26} & -1.29 x_{13} & +  0.00 x_{30} & -0.01 x_{28} & -0.39 x_{16}\\
 x_{12}   &  2.33850651964 & -0.05 x_{31} & -0.70 x_{2} & +  0.71 x_{3} & -0.44 x_{4} & -0.86 x_{7} & -0.09 x_{6} & +  0.04 x_{27} & -0.04 x_{21} & -0.50 x_{9} & -1.31 x_{10} & -0.13 x_{11} & +  0.01 x_{26} & -0.64 x_{13} & +  0.04 x_{30} & -0.04 x_{28} & +  0.29 x_{16}\\
 x_{8}   &  0.66830604384 & -0.22 x_{31} & +  1.53 x_{2} & +  2.01 x_{3} & -2.82 x_{4} & -0.91 x_{7} & -4.60 x_{6} & +  0.03 x_{27} & -0.37 x_{21} & -0.25 x_{9} & -4.58 x_{10} & +  0.50 x_{11} & +  0.16 x_{26} & -3.72 x_{13} & -0.02 x_{30} & -0.05 x_{28} & +  1.27 x_{16}\\
 x_{15}   &  1.26546412214 & +  0.22 x_{31} & -1.29 x_{2} & -1.79 x_{3} & +  1.51 x_{4} & +  0.55 x_{7} & +  3.22 x_{6} & +  0.01 x_{27} & +  0.27 x_{21} & -0.92 x_{9} & +  3.09 x_{10} & -1.05 x_{11} & -0.09 x_{26} & +  2.68 x_{13} & +  0.04 x_{30} & +  0.06 x_{28} & +  0.10 x_{16}\\
 x_{29}   &  77.7507836433 & +  0.18 x_{31} & -1.95 x_{2} & -15.89 x_{3} & + 24.36 x_{4} & -6.61 x_{7} & + 19.14 x_{6} & -0.22 x_{27} & +  1.10 x_{21} & +  6.53 x_{9} & + 27.40 x_{10} & +  2.85 x_{11} & -0.73 x_{26} & +  2.70 x_{13} & -0.00 x_{30} & +  0.74 x_{28} & -10.53 x_{16}\\
 x_{25}   &  64.4733492845 & +  0.21 x_{31} & -0.81 x_{2} & -5.62 x_{3} & + 14.40 x_{4} & -3.17 x_{7} & -2.54 x_{6} & -0.55 x_{27} & +  0.60 x_{21} & +  1.14 x_{9} & +  2.95 x_{10} & -4.92 x_{11} & +  0.03 x_{26} & +  1.60 x_{13} & +  0.57 x_{30} & +  0.47 x_{28} & -2.89 x_{16}\\
 x_{23}   &  1.25710891067 & +  3.46 x_{31} & -30.52 x_{2} & -32.07 x_{3} & + 32.21 x_{4} & +  3.10 x_{7} & + 67.80 x_{6} & +  0.40 x_{27} & +  4.98 x_{21} & -20.15 x_{9} & + 62.54 x_{10} & -15.33 x_{11} & -1.86 x_{26} & + 39.48 x_{13} & +  0.61 x_{30} & +  0.76 x_{28} & -1.80 x_{16}\\
 x_{32}   &  64.0049674087 & +  3.02 x_{31} & -28.04 x_{2} & -19.65 x_{3} & + 31.86 x_{4} & +  6.38 x_{7} & + 45.52 x_{6} & +  1.15 x_{27} & +  3.86 x_{21} & -14.59 x_{9} & + 47.95 x_{10} & -15.94 x_{11} & -2.61 x_{26} & + 36.51 x_{13} & +  0.11 x_{30} & +  1.04 x_{28} & -15.00 x_{16}\\
\hline
z    &  -7.82702768554 & -0.46 x_{31} & +  5.76 x_{2} & +  0.08 x_{3} & +  0.85 x_{4} & -5.66 x_{7} & -17.71 x_{6} & -0.14 x_{27} & -0.50 x_{21} & +  0.69 x_{9} & -0.89 x_{10} & +  9.86 x_{11} & +  0.52 x_{26} & -11.27 x_{13} & -0.32 x_{30} & +  0.09 x_{28} & +  3.01 x_{16}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  75.1762670383 & -2.31 x_{31} & -7.80 x_{2} & + 17.45 x_{3} & -29.81 x_{4} & -20.78 x_{7} & -19.32 x_{6} & +  0.50 x_{27} & -2.93 x_{21} & -11.21 x_{9} & -50.89 x_{10} & +  3.65 x_{11} & +  0.76 x_{26} & -19.98 x_{13} & +  0.00 x_{30} & -1.64 x_{28} & -4.63 x_{16}\\
 x_{18}   &  10.1921548068 & +  1.12 x_{31} & -15.28 x_{2} & +  1.50 x_{3} & + 13.61 x_{4} & +  3.41 x_{7} & + 22.84 x_{6} & +  0.42 x_{27} & +  1.26 x_{21} & +  4.02 x_{9} & + 16.48 x_{10} & -19.60 x_{11} & -1.14 x_{26} & + 22.22 x_{13} & -0.16 x_{30} & -0.04 x_{28} & -12.27 x_{16}\\
 x_{19}   &  50.0414379615 & +  1.78 x_{31} & -24.36 x_{2} & -27.49 x_{3} & + 31.18 x_{4} & -3.44 x_{7} & + 44.50 x_{6} & +  0.30 x_{27} & +  2.70 x_{21} & -8.92 x_{9} & + 39.85 x_{10} & -7.74 x_{11} & -1.62 x_{26} & + 34.68 x_{13} & +  0.35 x_{30} & +  0.72 x_{28} & -6.31 x_{16}\\
 x_{20}   &  21.7710680271 & -1.37 x_{31} & + 28.44 x_{2} & + 20.22 x_{3} & -41.91 x_{4} & +  0.76 x_{7} & -42.08 x_{6} & +  0.58 x_{27} & -3.20 x_{21} & -1.73 x_{9} & -37.19 x_{10} & -10.53 x_{11} & +  1.46 x_{26} & -35.41 x_{13} & -0.83 x_{30} & -0.40 x_{28} & +  2.71 x_{16}\\
 x_{1}   &  4.19782167701 & +  0.05 x_{31} & -0.33 x_{2} & -1.19 x_{3} & +  1.10 x_{4} & +  0.25 x_{7} & +  0.73 x_{6} & -0.01 x_{27} & +  0.05 x_{21} & +  0.29 x_{9} & +  1.15 x_{10} & -0.17 x_{11} & -0.05 x_{26} & +  0.73 x_{13} & +  0.02 x_{30} & +  0.06 x_{28} & -0.07 x_{16}\\
 x_{22}   &  52.4759527597 & +  0.05 x_{31} & -8.96 x_{2} & -7.56 x_{3} & +  1.42 x_{4} & -9.73 x_{7} & -1.29 x_{6} & -0.40 x_{27} & +  0.41 x_{21} & -8.26 x_{9} & -1.57 x_{10} & + 12.60 x_{11} & +  0.56 x_{26} & -9.16 x_{13} & +  0.35 x_{30} & +  0.21 x_{28} & -4.45 x_{16}\\
 x_{5}   &  0.0600537668261 & +  0.16 x_{31} & -0.79 x_{2} & -1.05 x_{3} & +  1.05 x_{4} & +  0.45 x_{7} & +  1.75 x_{6} & +  0.05 x_{27} & +  0.19 x_{21} & -0.32 x_{9} & +  2.41 x_{10} & -0.84 x_{11} & -0.09 x_{26} & +  1.81 x_{13} & -0.02 x_{30} & +  0.08 x_{28} & -0.06 x_{16}\\
 x_{24}   &  28.9501370178 & -1.23 x_{31} & +  4.26 x_{2} & +  0.79 x_{3} & +  2.44 x_{4} & +  7.84 x_{7} & -10.30 x_{6} & -0.76 x_{27} & -1.37 x_{21} & +  5.65 x_{9} & -12.10 x_{10} & + 15.14 x_{11} & +  0.50 x_{26} & -19.93 x_{13} & -0.27 x_{30} & -0.52 x_{28} & -12.48 x_{16}\\
 x_{14}   &  2.86764846789 & -0.11 x_{31} & +  0.87 x_{2} & +  0.51 x_{3} & +  0.20 x_{4} & -0.48 x_{7} & -1.34 x_{6} & -0.07 x_{27} & -0.06 x_{21} & +  0.73 x_{9} & -0.68 x_{10} & +  1.32 x_{11} & +  0.08 x_{26} & -1.29 x_{13} & +  0.00 x_{30} & -0.01 x_{28} & -0.39 x_{16}\\
 x_{12}   &  2.33850651964 & -0.05 x_{31} & -0.70 x_{2} & +  0.71 x_{3} & -0.44 x_{4} & -0.86 x_{7} & -0.09 x_{6} & +  0.04 x_{27} & -0.04 x_{21} & -0.50 x_{9} & -1.31 x_{10} & -0.13 x_{11} & +  0.01 x_{26} & -0.64 x_{13} & +  0.04 x_{30} & -0.04 x_{28} & +  0.29 x_{16}\\
 x_{8}   &  0.66830604384 & -0.22 x_{31} & +  1.53 x_{2} & +  2.01 x_{3} & -2.82 x_{4} & -0.91 x_{7} & -4.60 x_{6} & +  0.03 x_{27} & -0.37 x_{21} & -0.25 x_{9} & -4.58 x_{10} & +  0.50 x_{11} & +  0.16 x_{26} & -3.72 x_{13} & -0.02 x_{30} & -0.05 x_{28} & +  1.27 x_{16}\\
 x_{15}   &  1.26546412214 & +  0.22 x_{31} & -1.29 x_{2} & -1.79 x_{3} & +  1.51 x_{4} & +  0.55 x_{7} & +  3.22 x_{6} & +  0.01 x_{27} & +  0.27 x_{21} & -0.92 x_{9} & +  3.09 x_{10} & -1.05 x_{11} & -0.09 x_{26} & +  2.68 x_{13} & +  0.04 x_{30} & +  0.06 x_{28} & +  0.10 x_{16}\\
 x_{29}   &  77.7507836433 & +  0.18 x_{31} & -1.95 x_{2} & -15.89 x_{3} & + 24.36 x_{4} & -6.61 x_{7} & + 19.14 x_{6} & -0.22 x_{27} & +  1.10 x_{21} & +  6.53 x_{9} & + 27.40 x_{10} & +  2.85 x_{11} & -0.73 x_{26} & +  2.70 x_{13} & -0.00 x_{30} & +  0.74 x_{28} & -10.53 x_{16}\\
 x_{25}   &  64.4733492845 & +  0.21 x_{31} & -0.81 x_{2} & -5.62 x_{3} & + 14.40 x_{4} & -3.17 x_{7} & -2.54 x_{6} & -0.55 x_{27} & +  0.60 x_{21} & +  1.14 x_{9} & +  2.95 x_{10} & -4.92 x_{11} & +  0.03 x_{26} & +  1.60 x_{13} & +  0.57 x_{30} & +  0.47 x_{28} & -2.89 x_{16}\\
 x_{23}   &  1.25710891067 & +  3.46 x_{31} & -30.52 x_{2} & -32.07 x_{3} & + 32.21 x_{4} & +  3.10 x_{7} & + 67.80 x_{6} & +  0.40 x_{27} & +  4.98 x_{21} & -20.15 x_{9} & + 62.54 x_{10} & -15.33 x_{11} & -1.86 x_{26} & + 39.48 x_{13} & +  0.61 x_{30} & +  0.76 x_{28} & -1.80 x_{16}\\
 x_{32}   &  64.0049674087 & +  3.02 x_{31} & -28.04 x_{2} & -19.65 x_{3} & + 31.86 x_{4} & +  6.38 x_{7} & + 45.52 x_{6} & +  1.15 x_{27} & +  3.86 x_{21} & -14.59 x_{9} & + 47.95 x_{10} & -15.94 x_{11} & -2.61 x_{26} & + 36.51 x_{13} & +  0.11 x_{30} & +  1.04 x_{28} & -15.00 x_{16}\\
\hline
z    &  -7.82702768554 & -0.46 x_{31} & +  5.76 x_{2} & +  0.08 x_{3} & +  0.85 x_{4} & -5.66 x_{7} & -17.71 x_{6} & -0.14 x_{27} & -0.50 x_{21} & +  0.69 x_{9} & -0.89 x_{10} & +  9.86 x_{11} & +  0.52 x_{26} & -11.27 x_{13} & -0.32 x_{30} & +  0.09 x_{28} & +  3.01 x_{16}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{23} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  74.8549362593 & -3.20 x_{31} & +  0.26 x_{23} & + 25.64 x_{3} & -38.04 x_{4} & -21.57 x_{7} & -36.65 x_{6} & +  0.40 x_{27} & -4.21 x_{21} & -6.06 x_{9} & -66.88 x_{10} & +  7.57 x_{11} & +  1.24 x_{26} & -30.07 x_{13} & -0.16 x_{30} & -1.84 x_{28} & -4.17 x_{16}\\
 x_{18}   &  9.56291622007 & -0.62 x_{31} & +  0.50 x_{23} & + 17.55 x_{3} & -2.51 x_{4} & +  1.86 x_{7} & -11.10 x_{6} & +  0.22 x_{27} & -1.23 x_{21} & + 14.11 x_{9} & -14.82 x_{10} & -11.93 x_{11} & -0.21 x_{26} & +  2.46 x_{13} & -0.47 x_{30} & -0.42 x_{28} & -11.37 x_{16}\\
 x_{19}   &  49.0379106313 & -0.99 x_{31} & +  0.80 x_{23} & -1.89 x_{3} & +  5.47 x_{4} & -5.91 x_{7} & -9.63 x_{6} & -0.02 x_{27} & -1.28 x_{21} & +  7.16 x_{9} & -10.08 x_{10} & +  4.50 x_{11} & -0.13 x_{26} & +  3.17 x_{13} & -0.14 x_{30} & +  0.12 x_{28} & -4.87 x_{16}\\
 x_{20}   &  22.9427123833 & +  1.85 x_{31} & -0.93 x_{23} & -9.67 x_{3} & -11.89 x_{4} & +  3.65 x_{7} & + 21.10 x_{6} & +  0.95 x_{27} & +  1.44 x_{21} & -20.51 x_{9} & + 21.10 x_{10} & -24.82 x_{11} & -0.28 x_{26} & +  1.38 x_{13} & -0.26 x_{30} & +  0.30 x_{28} & +  1.04 x_{16}\\
 x_{1}   &  4.18402520492 & +  0.01 x_{31} & +  0.01 x_{23} & -0.84 x_{3} & +  0.75 x_{4} & +  0.22 x_{7} & -0.02 x_{6} & -0.01 x_{27} & -0.01 x_{21} & +  0.51 x_{9} & +  0.47 x_{10} & -0.00 x_{11} & -0.03 x_{26} & +  0.29 x_{13} & +  0.02 x_{30} & +  0.05 x_{28} & -0.05 x_{16}\\
 x_{22}   &  52.1068744781 & -0.96 x_{31} & +  0.29 x_{23} & +  1.85 x_{3} & -8.04 x_{4} & -10.64 x_{7} & -21.20 x_{6} & -0.52 x_{27} & -1.05 x_{21} & -2.35 x_{9} & -19.93 x_{10} & + 17.10 x_{11} & +  1.10 x_{26} & -20.75 x_{13} & +  0.17 x_{30} & -0.01 x_{28} & -3.92 x_{16}\\
 x_{5}   &  0.0273375335551 & +  0.07 x_{31} & +  0.03 x_{23} & -0.22 x_{3} & +  0.21 x_{4} & +  0.37 x_{7} & -0.01 x_{6} & +  0.04 x_{27} & +  0.06 x_{21} & +  0.20 x_{9} & +  0.78 x_{10} & -0.44 x_{11} & -0.04 x_{26} & +  0.79 x_{13} & -0.03 x_{30} & +  0.06 x_{28} & -0.01 x_{16}\\
 x_{24}   &  29.1254920901 & -0.75 x_{31} & -0.14 x_{23} & -3.68 x_{3} & +  6.94 x_{4} & +  8.27 x_{7} & -0.85 x_{6} & -0.71 x_{27} & -0.68 x_{21} & +  2.83 x_{9} & -3.38 x_{10} & + 13.00 x_{11} & +  0.24 x_{26} & -14.43 x_{13} & -0.18 x_{30} & -0.42 x_{28} & -12.74 x_{16}\\
 x_{14}   &  2.90357069682 & -0.01 x_{31} & -0.03 x_{23} & -0.41 x_{3} & +  1.12 x_{4} & -0.39 x_{7} & +  0.59 x_{6} & -0.06 x_{27} & +  0.08 x_{21} & +  0.15 x_{9} & +  1.10 x_{10} & +  0.88 x_{11} & +  0.03 x_{26} & -0.16 x_{13} & +  0.02 x_{30} & +  0.01 x_{28} & -0.44 x_{16}\\
 x_{12}   &  2.30956797976 & -0.13 x_{31} & +  0.02 x_{23} & +  1.45 x_{3} & -1.18 x_{4} & -0.93 x_{7} & -1.65 x_{6} & +  0.03 x_{27} & -0.16 x_{21} & -0.04 x_{9} & -2.75 x_{10} & +  0.22 x_{11} & +  0.06 x_{26} & -1.55 x_{13} & +  0.02 x_{30} & -0.06 x_{28} & +  0.33 x_{16}\\
 x_{8}   &  0.731182250702 & -0.04 x_{31} & -0.05 x_{23} & +  0.41 x_{3} & -1.21 x_{4} & -0.75 x_{7} & -1.21 x_{6} & +  0.05 x_{27} & -0.12 x_{21} & -1.25 x_{9} & -1.46 x_{10} & -0.27 x_{11} & +  0.07 x_{26} & -1.75 x_{13} & +  0.01 x_{30} & -0.01 x_{28} & +  1.18 x_{16}\\
 x_{15}   &  1.21243330701 & +  0.07 x_{31} & +  0.04 x_{23} & -0.43 x_{3} & +  0.15 x_{4} & +  0.42 x_{7} & +  0.36 x_{6} & -0.01 x_{27} & +  0.06 x_{21} & -0.07 x_{9} & +  0.45 x_{10} & -0.41 x_{11} & -0.02 x_{26} & +  1.01 x_{13} & +  0.01 x_{30} & +  0.03 x_{28} & +  0.17 x_{16}\\
 x_{29}   &  77.6703947881 & -0.04 x_{31} & +  0.06 x_{23} & -13.84 x_{3} & + 22.30 x_{4} & -6.81 x_{7} & + 14.81 x_{6} & -0.25 x_{27} & +  0.78 x_{21} & +  7.81 x_{9} & + 23.40 x_{10} & +  3.83 x_{11} & -0.61 x_{26} & +  0.18 x_{13} & -0.04 x_{30} & +  0.69 x_{28} & -10.42 x_{16}\\
 x_{25}   &  64.4398444365 & +  0.12 x_{31} & +  0.03 x_{23} & -4.76 x_{3} & + 13.54 x_{4} & -3.26 x_{7} & -4.34 x_{6} & -0.56 x_{27} & +  0.46 x_{21} & +  1.68 x_{9} & +  1.28 x_{10} & -4.51 x_{11} & +  0.08 x_{26} & +  0.55 x_{13} & +  0.56 x_{30} & +  0.45 x_{28} & -2.85 x_{16}\\
 x_{2}   &  0.0411934748965 & +  0.11 x_{31} & -0.03 x_{23} & -1.05 x_{3} & +  1.06 x_{4} & +  0.10 x_{7} & +  2.22 x_{6} & +  0.01 x_{27} & +  0.16 x_{21} & -0.66 x_{9} & +  2.05 x_{10} & -0.50 x_{11} & -0.06 x_{26} & +  1.29 x_{13} & +  0.02 x_{30} & +  0.02 x_{28} & -0.06 x_{16}\\
 x_{32}   &  62.849950948 & -0.17 x_{31} & +  0.92 x_{23} & +  9.82 x_{3} & +  2.26 x_{4} & +  3.53 x_{7} & -16.77 x_{6} & +  0.78 x_{27} & -0.72 x_{21} & +  3.92 x_{9} & -9.51 x_{10} & -1.85 x_{11} & -0.90 x_{26} & +  0.25 x_{13} & -0.45 x_{30} & +  0.34 x_{28} & -13.35 x_{16}\\
\hline
z    &  -7.58960238794 & +  0.20 x_{31} & -0.19 x_{23} & -5.98 x_{3} & +  6.93 x_{4} & -5.08 x_{7} & -4.90 x_{6} & -0.06 x_{27} & +  0.44 x_{21} & -3.11 x_{9} & + 10.92 x_{10} & +  6.97 x_{11} & +  0.17 x_{26} & -3.81 x_{13} & -0.20 x_{30} & +  0.23 x_{28} & +  2.67 x_{16}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  51.8357996763 & -1.81 x_{31} & +  1.83 x_{23} & + 12.86 x_{3} & + 31.48 x_{8} & +  2.15 x_{7} & +  1.51 x_{6} & -1.29 x_{27} & -0.30 x_{21} & + 33.41 x_{9} & -21.04 x_{10} & + 16.11 x_{11} & -1.01 x_{26} & + 24.96 x_{13} & -0.43 x_{30} & -1.56 x_{28} & -41.28 x_{16}\\
 x_{18}   &  8.04373029124 & -0.52 x_{31} & +  0.60 x_{23} & + 16.71 x_{3} & +  2.08 x_{8} & +  3.43 x_{7} & -8.58 x_{6} & +  0.11 x_{27} & -0.97 x_{21} & + 16.71 x_{9} & -11.79 x_{10} & -11.36 x_{11} & -0.36 x_{26} & +  6.09 x_{13} & -0.48 x_{30} & -0.40 x_{28} & -13.82 x_{16}\\
 x_{19}   &  52.3482506059 & -1.19 x_{31} & +  0.57 x_{23} & -0.05 x_{3} & -4.53 x_{8} & -9.32 x_{7} & -15.11 x_{6} & +  0.22 x_{27} & -1.84 x_{21} & +  1.48 x_{9} & -16.67 x_{10} & +  3.27 x_{11} & +  0.19 x_{26} & -4.75 x_{13} & -0.10 x_{30} & +  0.08 x_{28} & +  0.46 x_{16}\\
 x_{20}   &  15.7481186164 & +  2.29 x_{31} & -0.44 x_{23} & -13.67 x_{3} & +  9.84 x_{8} & + 11.07 x_{7} & + 33.03 x_{6} & +  0.42 x_{27} & +  2.66 x_{21} & -8.17 x_{9} & + 35.42 x_{10} & -22.15 x_{11} & -0.98 x_{26} & + 18.59 x_{13} & -0.35 x_{30} & +  0.39 x_{28} & -10.56 x_{16}\\
 x_{1}   &  4.63530107825 & -0.02 x_{31} & -0.02 x_{23} & -0.59 x_{3} & -0.62 x_{8} & -0.25 x_{7} & -0.76 x_{6} & +  0.02 x_{27} & -0.08 x_{21} & -0.27 x_{9} & -0.43 x_{10} & -0.17 x_{11} & +  0.01 x_{26} & -0.79 x_{13} & +  0.02 x_{30} & +  0.04 x_{28} & +  0.67 x_{16}\\
 x_{22}   &  47.2416396537 & -0.67 x_{31} & +  0.63 x_{23} & -0.85 x_{3} & +  6.65 x_{8} & -5.63 x_{7} & -13.14 x_{6} & -0.88 x_{27} & -0.23 x_{21} & +  6.00 x_{9} & -10.25 x_{10} & + 18.91 x_{11} & +  0.63 x_{26} & -9.12 x_{13} & +  0.11 x_{30} & +  0.04 x_{28} & -11.76 x_{16}\\
 x_{5}   &  0.153147430219 & +  0.06 x_{31} & +  0.02 x_{23} & -0.15 x_{3} & -0.17 x_{8} & +  0.24 x_{7} & -0.22 x_{6} & +  0.05 x_{27} & +  0.04 x_{21} & -0.01 x_{9} & +  0.53 x_{10} & -0.49 x_{11} & -0.03 x_{26} & +  0.49 x_{13} & -0.03 x_{30} & +  0.06 x_{28} & +  0.19 x_{16}\\
 x_{24}   &  33.323290064 & -1.00 x_{31} & -0.43 x_{23} & -1.35 x_{3} & -5.74 x_{8} & +  3.94 x_{7} & -7.80 x_{6} & -0.40 x_{27} & -1.39 x_{21} & -4.36 x_{9} & -11.74 x_{10} & + 11.44 x_{11} & +  0.65 x_{26} & -24.46 x_{13} & -0.13 x_{30} & -0.47 x_{28} & -5.97 x_{16}\\
 x_{14}   &  3.57942168679 & -0.05 x_{31} & -0.07 x_{23} & -0.03 x_{3} & -0.92 x_{8} & -1.09 x_{7} & -0.53 x_{6} & -0.01 x_{27} & -0.03 x_{21} & -1.01 x_{9} & -0.24 x_{10} & +  0.63 x_{11} & +  0.09 x_{26} & -1.78 x_{13} & +  0.03 x_{30} & +  0.00 x_{28} & +  0.65 x_{16}\\
 x_{12}   &  1.59400270048 & -0.09 x_{31} & +  0.07 x_{23} & +  1.05 x_{3} & +  0.98 x_{8} & -0.19 x_{7} & -0.47 x_{6} & -0.02 x_{27} & -0.04 x_{21} & +  1.19 x_{9} & -1.33 x_{10} & +  0.48 x_{11} & -0.01 x_{26} & +  0.16 x_{13} & +  0.01 x_{30} & -0.05 x_{28} & -0.82 x_{16}\\
 x_{4}   &  0.605068770654 & -0.04 x_{31} & -0.04 x_{23} & +  0.34 x_{3} & -0.83 x_{8} & -0.62 x_{7} & -1.00 x_{6} & +  0.04 x_{27} & -0.10 x_{21} & -1.04 x_{9} & -1.20 x_{10} & -0.22 x_{11} & +  0.06 x_{26} & -1.45 x_{13} & +  0.01 x_{30} & -0.01 x_{28} & +  0.98 x_{16}\\
 x_{15}   &  1.30219281246 & +  0.07 x_{31} & +  0.04 x_{23} & -0.38 x_{3} & -0.12 x_{8} & +  0.33 x_{7} & +  0.21 x_{6} & -0.00 x_{27} & +  0.04 x_{21} & -0.22 x_{9} & +  0.27 x_{10} & -0.44 x_{11} & -0.01 x_{26} & +  0.80 x_{13} & +  0.01 x_{30} & +  0.02 x_{28} & +  0.32 x_{16}\\
 x_{29}   &  91.1624828088 & -0.86 x_{31} & -0.86 x_{23} & -6.34 x_{3} & -18.45 x_{8} & -20.72 x_{7} & -7.56 x_{6} & +  0.74 x_{27} & -1.51 x_{21} & -15.32 x_{9} & -3.47 x_{10} & -1.17 x_{11} & +  0.71 x_{26} & -32.08 x_{13} & +  0.12 x_{30} & +  0.53 x_{28} & + 11.33 x_{16}\\
 x_{25}   &  72.6350381015 & -0.38 x_{31} & -0.53 x_{23} & -0.21 x_{3} & -11.21 x_{8} & -11.70 x_{7} & -17.93 x_{6} & +  0.05 x_{27} & -0.92 x_{21} & -12.38 x_{9} & -15.04 x_{10} & -7.55 x_{11} & +  0.88 x_{26} & -19.04 x_{13} & +  0.66 x_{30} & +  0.36 x_{28} & + 10.37 x_{16}\\
 x_{2}   &  0.679825904549 & +  0.07 x_{31} & -0.08 x_{23} & -0.70 x_{3} & -0.87 x_{8} & -0.56 x_{7} & +  1.16 x_{6} & +  0.06 x_{27} & +  0.05 x_{21} & -1.76 x_{9} & +  0.78 x_{10} & -0.74 x_{11} & +  0.00 x_{26} & -0.23 x_{13} & +  0.03 x_{30} & +  0.02 x_{28} & +  0.97 x_{16}\\
 x_{32}   &  64.2202776437 & -0.25 x_{31} & +  0.83 x_{23} & + 10.58 x_{3} & -1.87 x_{8} & +  2.12 x_{7} & -19.04 x_{6} & +  0.88 x_{27} & -0.95 x_{21} & +  1.57 x_{9} & -12.24 x_{10} & -2.36 x_{11} & -0.77 x_{26} & -3.03 x_{13} & -0.44 x_{30} & +  0.32 x_{28} & -11.14 x_{16}\\
\hline
z    &  -3.39413563644 & -0.05 x_{31} & -0.48 x_{23} & -3.65 x_{3} & -5.74 x_{8} & -9.40 x_{7} & -11.86 x_{6} & +  0.24 x_{27} & -0.28 x_{21} & -10.31 x_{9} & +  2.56 x_{10} & +  5.41 x_{11} & +  0.58 x_{26} & -13.84 x_{13} & -0.15 x_{30} & +  0.18 x_{28} & +  9.43 x_{16}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  41.2689042465 & -1.17 x_{31} & +  2.55 x_{23} & +  6.99 x_{3} & + 45.93 x_{8} & + 13.04 x_{7} & + 19.02 x_{6} & -2.07 x_{27} & +  1.49 x_{21} & + 51.54 x_{9} & + 17.46 x_{4} & + 20.03 x_{11} & -2.05 x_{26} & + 50.23 x_{13} & -0.56 x_{30} & -1.44 x_{28} & -58.32 x_{16}\\
 x_{18}   &  2.12072666034 & -0.17 x_{31} & +  1.01 x_{23} & + 13.42 x_{3} & + 10.18 x_{8} & +  9.53 x_{7} & +  1.24 x_{6} & -0.33 x_{27} & +  0.03 x_{21} & + 26.87 x_{9} & +  9.79 x_{4} & -9.17 x_{11} & -0.94 x_{26} & + 20.25 x_{13} & -0.56 x_{30} & -0.33 x_{28} & -23.37 x_{16}\\
 x_{19}   &  43.9776825537 & -0.68 x_{31} & +  1.14 x_{23} & -4.70 x_{3} & +  6.92 x_{8} & -0.70 x_{7} & -1.24 x_{6} & -0.40 x_{27} & -0.42 x_{21} & + 15.84 x_{9} & + 13.83 x_{4} & +  6.38 x_{11} & -0.62 x_{26} & + 15.27 x_{13} & -0.20 x_{30} & +  0.18 x_{28} & -13.03 x_{16}\\
 x_{20}   &  33.5369814599 & +  1.21 x_{31} & -1.66 x_{23} & -3.78 x_{3} & -14.49 x_{8} & -7.27 x_{7} & +  3.55 x_{6} & +  1.73 x_{27} & -0.36 x_{21} & -38.68 x_{9} & -29.40 x_{4} & -28.74 x_{11} & +  0.76 x_{26} & -23.94 x_{13} & -0.14 x_{30} & +  0.18 x_{28} & + 18.12 x_{16}\\
 x_{1}   &  4.41908824217 & -0.01 x_{31} & -0.01 x_{23} & -0.71 x_{3} & -0.32 x_{8} & -0.03 x_{7} & -0.40 x_{6} & +  0.01 x_{27} & -0.05 x_{21} & +  0.10 x_{9} & +  0.36 x_{4} & -0.09 x_{11} & -0.01 x_{26} & -0.27 x_{13} & +  0.02 x_{30} & +  0.05 x_{28} & +  0.32 x_{16}\\
 x_{22}   &  42.0959364942 & -0.36 x_{31} & +  0.98 x_{23} & -3.71 x_{3} & + 13.69 x_{8} & -0.33 x_{7} & -4.61 x_{6} & -1.25 x_{27} & +  0.65 x_{21} & + 14.82 x_{9} & +  8.50 x_{4} & + 20.82 x_{11} & +  0.12 x_{26} & +  3.19 x_{13} & +  0.05 x_{30} & +  0.11 x_{28} & -20.06 x_{16}\\
 x_{5}   &  0.419062087888 & +  0.04 x_{31} & -0.00 x_{23} & +  0.00 x_{3} & -0.54 x_{8} & -0.03 x_{7} & -0.66 x_{6} & +  0.07 x_{27} & -0.01 x_{21} & -0.47 x_{9} & -0.44 x_{4} & -0.59 x_{11} & +  0.00 x_{26} & -0.15 x_{13} & -0.03 x_{30} & +  0.06 x_{28} & +  0.62 x_{16}\\
 x_{24}   &  27.4294848636 & -0.65 x_{31} & -0.02 x_{23} & -4.62 x_{3} & +  2.32 x_{8} & + 10.02 x_{7} & +  1.97 x_{6} & -0.83 x_{27} & -0.39 x_{21} & +  5.74 x_{9} & +  9.74 x_{4} & + 13.63 x_{11} & +  0.07 x_{26} & -10.37 x_{13} & -0.21 x_{30} & -0.40 x_{28} & -15.47 x_{16}\\
 x_{14}   &  3.45762324048 & -0.05 x_{31} & -0.07 x_{23} & -0.10 x_{3} & -0.76 x_{8} & -0.96 x_{7} & -0.33 x_{6} & -0.02 x_{27} & -0.01 x_{21} & -0.80 x_{9} & +  0.20 x_{4} & +  0.68 x_{11} & +  0.08 x_{26} & -1.49 x_{13} & +  0.03 x_{30} & +  0.00 x_{28} & +  0.45 x_{16}\\
 x_{12}   &  0.928264399563 & -0.05 x_{31} & +  0.12 x_{23} & +  0.68 x_{3} & +  1.89 x_{8} & +  0.49 x_{7} & +  0.63 x_{6} & -0.07 x_{27} & +  0.08 x_{21} & +  2.33 x_{9} & +  1.10 x_{4} & +  0.73 x_{11} & -0.08 x_{26} & +  1.75 x_{13} & +  0.01 x_{30} & -0.04 x_{28} & -1.89 x_{16}\\
 x_{10}   &  0.502183428512 & -0.03 x_{31} & -0.03 x_{23} & +  0.28 x_{3} & -0.69 x_{8} & -0.52 x_{7} & -0.83 x_{6} & +  0.04 x_{27} & -0.09 x_{21} & -0.86 x_{9} & -0.83 x_{4} & -0.19 x_{11} & +  0.05 x_{26} & -1.20 x_{13} & +  0.01 x_{30} & -0.01 x_{28} & +  0.81 x_{16}\\
 x_{15}   &  1.43956053282 & +  0.06 x_{31} & +  0.03 x_{23} & -0.31 x_{3} & -0.31 x_{8} & +  0.19 x_{7} & -0.01 x_{6} & +  0.01 x_{27} & +  0.02 x_{21} & -0.46 x_{9} & -0.23 x_{4} & -0.49 x_{11} & +  0.01 x_{26} & +  0.47 x_{13} & +  0.02 x_{30} & +  0.02 x_{28} & +  0.54 x_{16}\\
 x_{29}   &  89.4211767497 & -0.75 x_{31} & -0.74 x_{23} & -7.31 x_{3} & -16.07 x_{8} & -18.92 x_{7} & -4.67 x_{6} & +  0.62 x_{27} & -1.21 x_{21} & -12.34 x_{9} & +  2.88 x_{4} & -0.52 x_{11} & +  0.54 x_{26} & -27.92 x_{13} & +  0.10 x_{30} & +  0.55 x_{28} & +  8.52 x_{16}\\
 x_{25}   &  65.0831442449 & +  0.08 x_{31} & -0.02 x_{23} & -4.40 x_{3} & -0.88 x_{8} & -3.92 x_{7} & -5.41 x_{6} & -0.51 x_{27} & +  0.36 x_{21} & +  0.57 x_{9} & + 12.48 x_{4} & -4.75 x_{11} & +  0.14 x_{26} & -0.99 x_{13} & +  0.57 x_{30} & +  0.45 x_{28} & -1.81 x_{16}\\
 x_{2}   &  1.0703197879 & +  0.05 x_{31} & -0.10 x_{23} & -0.48 x_{3} & -1.41 x_{8} & -0.96 x_{7} & +  0.52 x_{6} & +  0.09 x_{27} & -0.01 x_{21} & -2.43 x_{9} & -0.65 x_{4} & -0.88 x_{11} & +  0.04 x_{26} & -1.17 x_{13} & +  0.03 x_{30} & +  0.01 x_{28} & +  1.60 x_{16}\\
 x_{32}   &  58.073916526 & +  0.12 x_{31} & +  1.25 x_{23} & +  7.17 x_{3} & +  6.53 x_{8} & +  8.45 x_{7} & -8.86 x_{6} & +  0.43 x_{27} & +  0.09 x_{21} & + 12.11 x_{9} & + 10.16 x_{4} & -0.08 x_{11} & -1.37 x_{26} & + 11.66 x_{13} & -0.51 x_{30} & +  0.40 x_{28} & -21.05 x_{16}\\
\hline
z    &  -2.10678300631 & -0.13 x_{31} & -0.56 x_{23} & -2.93 x_{3} & -7.50 x_{8} & -10.73 x_{7} & -13.99 x_{6} & +  0.34 x_{27} & -0.49 x_{21} & -12.52 x_{9} & -2.13 x_{4} & +  4.93 x_{11} & +  0.71 x_{26} & -16.92 x_{13} & -0.14 x_{30} & +  0.16 x_{28} & + 11.50 x_{16}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{18} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  45.9027233134 & -1.53 x_{31} & +  4.76 x_{23} & + 36.30 x_{3} & + 68.17 x_{8} & + 33.87 x_{7} & + 21.72 x_{6} & -2.79 x_{27} & +  1.56 x_{21} & + 110.25 x_{9} & + 38.85 x_{4} & -2.19 x_{18} & -4.09 x_{26} & + 94.47 x_{13} & -1.77 x_{30} & -2.16 x_{28} & -109.38 x_{16}\\
 x_{11}   &  0.231370924347 & -0.02 x_{31} & +  0.11 x_{23} & +  1.46 x_{3} & +  1.11 x_{8} & +  1.04 x_{7} & +  0.13 x_{6} & -0.04 x_{27} & +  0.00 x_{21} & +  2.93 x_{9} & +  1.07 x_{4} & -0.11 x_{18} & -0.10 x_{26} & +  2.21 x_{13} & -0.06 x_{30} & -0.04 x_{28} & -2.55 x_{16}\\
 x_{19}   &  45.4535358102 & -0.80 x_{31} & +  1.85 x_{23} & +  4.63 x_{3} & + 14.00 x_{8} & +  5.94 x_{7} & -0.38 x_{6} & -0.62 x_{27} & -0.40 x_{21} & + 34.54 x_{9} & + 20.65 x_{4} & -0.70 x_{18} & -1.28 x_{26} & + 29.36 x_{13} & -0.59 x_{30} & -0.05 x_{28} & -29.29 x_{16}\\
 x_{20}   &  26.8863344415 & +  1.74 x_{31} & -4.82 x_{23} & -45.86 x_{3} & -46.41 x_{8} & -37.15 x_{7} & -0.33 x_{6} & +  2.76 x_{27} & -0.46 x_{21} & -122.94 x_{9} & -60.10 x_{4} & +  3.14 x_{18} & +  3.69 x_{26} & -87.45 x_{13} & +  1.60 x_{30} & +  1.22 x_{28} & + 91.40 x_{16}\\
 x_{1}   &  4.39872615199 & -0.01 x_{31} & -0.01 x_{23} & -0.84 x_{3} & -0.42 x_{8} & -0.12 x_{7} & -0.42 x_{6} & +  0.01 x_{27} & -0.05 x_{21} & -0.15 x_{9} & +  0.26 x_{4} & +  0.01 x_{18} & -0.00 x_{26} & -0.46 x_{13} & +  0.03 x_{30} & +  0.05 x_{28} & +  0.55 x_{16}\\
 x_{22}   &  46.9121628087 & -0.74 x_{31} & +  3.27 x_{23} & + 26.76 x_{3} & + 36.81 x_{8} & + 21.32 x_{7} & -1.80 x_{6} & -2.00 x_{27} & +  0.72 x_{21} & + 75.85 x_{9} & + 30.74 x_{4} & -2.27 x_{18} & -2.00 x_{26} & + 49.17 x_{13} & -1.21 x_{30} & -0.65 x_{28} & -73.13 x_{16}\\
 x_{5}   &  0.282710106371 & +  0.05 x_{31} & -0.07 x_{23} & -0.86 x_{3} & -1.19 x_{8} & -0.64 x_{7} & -0.74 x_{6} & +  0.09 x_{27} & -0.01 x_{21} & -2.20 x_{9} & -1.07 x_{4} & +  0.06 x_{18} & +  0.06 x_{26} & -1.45 x_{13} & +  0.01 x_{30} & +  0.08 x_{28} & +  2.12 x_{16}\\
 x_{24}   &  30.583061128 & -0.89 x_{31} & +  1.48 x_{23} & + 15.33 x_{3} & + 17.45 x_{8} & + 24.19 x_{7} & +  3.80 x_{6} & -1.32 x_{27} & -0.34 x_{21} & + 45.70 x_{9} & + 24.30 x_{4} & -1.49 x_{18} & -1.32 x_{26} & + 19.74 x_{13} & -1.03 x_{30} & -0.89 x_{28} & -50.22 x_{16}\\
 x_{14}   &  3.61423073303 & -0.06 x_{31} & +  0.01 x_{23} & +  0.89 x_{3} & -0.01 x_{8} & -0.26 x_{7} & -0.23 x_{6} & -0.05 x_{27} & -0.01 x_{21} & +  1.19 x_{9} & +  0.92 x_{4} & -0.07 x_{18} & +  0.01 x_{26} & +  0.01 x_{13} & -0.01 x_{30} & -0.02 x_{28} & -1.27 x_{16}\\
 x_{12}   &  1.09738668975 & -0.06 x_{31} & +  0.20 x_{23} & +  1.75 x_{3} & +  2.70 x_{8} & +  1.25 x_{7} & +  0.73 x_{6} & -0.10 x_{27} & +  0.08 x_{21} & +  4.48 x_{9} & +  1.88 x_{4} & -0.08 x_{18} & -0.15 x_{26} & +  3.37 x_{13} & -0.04 x_{30} & -0.07 x_{28} & -3.76 x_{16}\\
 x_{10}   &  0.459092831534 & -0.03 x_{31} & -0.05 x_{23} & +  0.01 x_{3} & -0.89 x_{8} & -0.71 x_{7} & -0.86 x_{6} & +  0.04 x_{27} & -0.09 x_{21} & -1.41 x_{9} & -1.03 x_{4} & +  0.02 x_{18} & +  0.07 x_{26} & -1.61 x_{13} & +  0.02 x_{30} & +  0.00 x_{28} & +  1.28 x_{16}\\
 x_{15}   &  1.32617237616 & +  0.07 x_{31} & -0.03 x_{23} & -1.02 x_{3} & -0.85 x_{8} & -0.32 x_{7} & -0.08 x_{6} & +  0.03 x_{27} & +  0.02 x_{21} & -1.89 x_{9} & -0.75 x_{4} & +  0.05 x_{18} & +  0.06 x_{26} & -0.61 x_{13} & +  0.05 x_{30} & +  0.04 x_{28} & +  1.79 x_{16}\\
 x_{29}   &  89.2998324975 & -0.74 x_{31} & -0.80 x_{23} & -8.08 x_{3} & -16.65 x_{8} & -19.47 x_{7} & -4.74 x_{6} & +  0.63 x_{27} & -1.22 x_{21} & -13.88 x_{9} & +  2.32 x_{4} & +  0.06 x_{18} & +  0.59 x_{26} & -29.07 x_{13} & +  0.13 x_{30} & +  0.57 x_{28} & +  9.86 x_{16}\\
 x_{25}   &  63.9847304383 & +  0.17 x_{31} & -0.54 x_{23} & -11.35 x_{3} & -6.15 x_{8} & -8.85 x_{7} & -6.05 x_{6} & -0.34 x_{27} & +  0.34 x_{21} & -13.34 x_{9} & +  7.41 x_{4} & +  0.52 x_{18} & +  0.63 x_{26} & -11.47 x_{13} & +  0.85 x_{30} & +  0.62 x_{28} & + 10.30 x_{16}\\
 x_{2}   &  0.865777546152 & +  0.07 x_{31} & -0.20 x_{23} & -1.77 x_{3} & -2.39 x_{8} & -1.88 x_{7} & +  0.40 x_{6} & +  0.12 x_{27} & -0.01 x_{21} & -5.02 x_{9} & -1.59 x_{4} & +  0.10 x_{18} & +  0.13 x_{26} & -3.12 x_{13} & +  0.09 x_{30} & +  0.04 x_{28} & +  3.85 x_{16}\\
 x_{32}   &  58.055880282 & +  0.13 x_{31} & +  1.24 x_{23} & +  7.05 x_{3} & +  6.45 x_{8} & +  8.37 x_{7} & -8.87 x_{6} & +  0.43 x_{27} & +  0.09 x_{21} & + 11.89 x_{9} & + 10.07 x_{4} & +  0.01 x_{18} & -1.36 x_{26} & + 11.49 x_{13} & -0.51 x_{30} & +  0.40 x_{28} & -20.85 x_{16}\\
\hline
z    &  -0.965076688212 & -0.22 x_{31} & -0.02 x_{23} & +  4.29 x_{3} & -2.02 x_{8} & -5.60 x_{7} & -13.32 x_{6} & +  0.16 x_{27} & -0.48 x_{21} & +  1.95 x_{9} & +  3.14 x_{4} & -0.54 x_{18} & +  0.20 x_{26} & -6.02 x_{13} & -0.44 x_{30} & -0.01 x_{28} & -1.08 x_{16}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  57.823576654 & +  0.72 x_{31} & +  1.99 x_{23} & -42.17 x_{5} & + 17.99 x_{8} & +  6.68 x_{7} & -9.59 x_{6} & +  1.01 x_{27} & +  1.22 x_{21} & + 17.66 x_{9} & -6.22 x_{4} & +  0.53 x_{18} & -1.54 x_{26} & + 33.24 x_{13} & -1.38 x_{30} & +  1.26 x_{28} & -19.78 x_{16}\\
 x_{11}   &  0.712037731007 & +  0.07 x_{31} & -0.00 x_{23} & -1.70 x_{5} & -0.91 x_{8} & -0.06 x_{7} & -1.13 x_{6} & +  0.12 x_{27} & -0.01 x_{21} & -0.80 x_{9} & -0.75 x_{4} & +  0.00 x_{18} & +  0.00 x_{26} & -0.26 x_{13} & -0.04 x_{30} & +  0.10 x_{28} & +  1.06 x_{16}\\
 x_{19}   &  46.9746896007 & -0.51 x_{31} & +  1.49 x_{23} & -5.38 x_{5} & +  7.60 x_{8} & +  2.47 x_{7} & -4.37 x_{6} & -0.14 x_{27} & -0.44 x_{21} & + 22.72 x_{9} & + 14.90 x_{4} & -0.35 x_{18} & -0.95 x_{26} & + 21.55 x_{13} & -0.54 x_{30} & +  0.39 x_{28} & -17.86 x_{16}\\
 x_{20}   &  11.827129952 & -1.11 x_{31} & -1.32 x_{23} & + 53.27 x_{5} & + 16.99 x_{8} & -2.81 x_{7} & + 39.22 x_{6} & -2.04 x_{27} & -0.03 x_{21} & -5.98 x_{9} & -3.16 x_{4} & -0.29 x_{18} & +  0.47 x_{26} & -10.10 x_{13} & +  1.11 x_{30} & -3.10 x_{28} & -21.78 x_{16}\\
 x_{1}   &  4.12301145181 & -0.06 x_{31} & +  0.05 x_{23} & +  0.98 x_{5} & +  0.74 x_{8} & +  0.51 x_{7} & +  0.31 x_{6} & -0.08 x_{27} & -0.04 x_{21} & +  1.99 x_{9} & +  1.31 x_{4} & -0.05 x_{18} & -0.06 x_{26} & +  0.95 x_{13} & +  0.02 x_{30} & -0.03 x_{28} & -1.52 x_{16}\\
 x_{22}   &  55.700570035 & +  0.93 x_{31} & +  1.23 x_{23} & -31.09 x_{5} & -0.19 x_{8} & +  1.27 x_{7} & -24.88 x_{6} & +  0.80 x_{27} & +  0.47 x_{21} & +  7.59 x_{9} & -2.49 x_{4} & -0.27 x_{18} & -0.12 x_{26} & +  4.03 x_{13} & -0.92 x_{30} & +  1.87 x_{28} & -7.08 x_{16}\\
 x_{3}   &  0.328370027339 & +  0.06 x_{31} & -0.08 x_{23} & -1.16 x_{5} & -1.38 x_{8} & -0.75 x_{7} & -0.86 x_{6} & +  0.10 x_{27} & -0.01 x_{21} & -2.55 x_{9} & -1.24 x_{4} & +  0.07 x_{18} & +  0.07 x_{26} & -1.69 x_{13} & +  0.01 x_{30} & +  0.09 x_{28} & +  2.47 x_{16}\\
 x_{24}   &  35.6164623223 & +  0.06 x_{31} & +  0.31 x_{23} & -17.80 x_{5} & -3.73 x_{8} & + 12.71 x_{7} & -9.42 x_{6} & +  0.28 x_{27} & -0.49 x_{21} & +  6.61 x_{9} & +  5.27 x_{4} & -0.34 x_{18} & -0.24 x_{26} & -6.11 x_{13} & -0.87 x_{30} & +  0.55 x_{28} & -12.39 x_{16}\\
 x_{14}   &  3.90684214932 & -0.00 x_{31} & -0.06 x_{23} & -1.04 x_{5} & -1.24 x_{8} & -0.93 x_{7} & -1.00 x_{6} & +  0.05 x_{27} & -0.02 x_{21} & -1.09 x_{9} & -0.18 x_{4} & -0.01 x_{18} & +  0.07 x_{26} & -1.49 x_{13} & -0.00 x_{30} & +  0.06 x_{28} & +  0.93 x_{16}\\
 x_{12}   &  1.67364423092 & +  0.05 x_{31} & +  0.06 x_{23} & -2.04 x_{5} & +  0.27 x_{8} & -0.06 x_{7} & -0.78 x_{6} & +  0.09 x_{27} & +  0.06 x_{21} & +  0.00 x_{9} & -0.30 x_{4} & +  0.05 x_{18} & -0.03 x_{26} & +  0.41 x_{13} & -0.02 x_{30} & +  0.10 x_{28} & +  0.57 x_{16}\\
 x_{10}   &  0.461179922078 & -0.03 x_{31} & -0.06 x_{23} & -0.01 x_{5} & -0.90 x_{8} & -0.72 x_{7} & -0.86 x_{6} & +  0.04 x_{27} & -0.09 x_{21} & -1.42 x_{9} & -1.04 x_{4} & +  0.02 x_{18} & +  0.07 x_{26} & -1.62 x_{13} & +  0.02 x_{30} & +  0.00 x_{28} & +  1.30 x_{16}\\
 x_{15}   &  0.990036635554 & +  0.01 x_{31} & +  0.05 x_{23} & +  1.19 x_{5} & +  0.56 x_{8} & +  0.45 x_{7} & +  0.80 x_{6} & -0.08 x_{27} & +  0.03 x_{21} & +  0.72 x_{9} & +  0.52 x_{4} & -0.02 x_{18} & -0.02 x_{26} & +  1.11 x_{13} & +  0.03 x_{30} & -0.06 x_{28} & -0.74 x_{16}\\
 x_{29}   &  86.6469731072 & -1.24 x_{31} & -0.18 x_{23} & +  9.38 x_{5} & -5.49 x_{8} & -13.42 x_{7} & +  2.23 x_{6} & -0.21 x_{27} & -1.14 x_{21} & +  6.73 x_{9} & + 12.35 x_{4} & -0.55 x_{18} & +  0.02 x_{26} & -15.45 x_{13} & +  0.05 x_{30} & -0.19 x_{28} & -10.08 x_{16}\\
 x_{25}   &  60.2565264683 & -0.54 x_{31} & +  0.33 x_{23} & + 13.19 x_{5} & +  9.54 x_{8} & -0.35 x_{7} & +  3.74 x_{6} & -1.53 x_{27} & +  0.45 x_{21} & + 15.61 x_{9} & + 21.51 x_{4} & -0.33 x_{18} & -0.17 x_{26} & +  7.67 x_{13} & +  0.73 x_{30} & -0.45 x_{28} & -17.72 x_{16}\\
 x_{2}   &  0.28352016631 & -0.04 x_{31} & -0.07 x_{23} & +  2.06 x_{5} & +  0.06 x_{8} & -0.55 x_{7} & +  1.93 x_{6} & -0.07 x_{27} & +  0.00 x_{21} & -0.49 x_{9} & +  0.61 x_{4} & -0.04 x_{18} & +  0.01 x_{26} & -0.13 x_{13} & +  0.07 x_{30} & -0.12 x_{28} & -0.52 x_{16}\\
 x_{32}   &  60.3712398308 & +  0.56 x_{31} & +  0.70 x_{23} & -8.19 x_{5} & -3.30 x_{8} & +  3.09 x_{7} & -14.95 x_{6} & +  1.17 x_{27} & +  0.03 x_{21} & -6.10 x_{9} & +  1.32 x_{4} & +  0.54 x_{18} & -0.86 x_{26} & -0.40 x_{13} & -0.43 x_{30} & +  1.06 x_{28} & -3.45 x_{16}\\
\hline
z    &  0.443382787589 & +  0.04 x_{31} & -0.35 x_{23} & -4.98 x_{5} & -7.95 x_{8} & -8.81 x_{7} & -17.02 x_{6} & +  0.61 x_{27} & -0.52 x_{21} & -8.99 x_{9} & -2.18 x_{4} & -0.22 x_{18} & +  0.50 x_{26} & -13.25 x_{13} & -0.39 x_{30} & +  0.39 x_{28} & +  9.51 x_{16}\\
\end{array}\]


 $ x_{16} $ enters and $ x_{20} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{17}   &  47.0820004683 & +  1.73 x_{31} & +  3.19 x_{23} & -90.54 x_{5} & +  2.56 x_{8} & +  9.23 x_{7} & -45.21 x_{6} & +  2.87 x_{27} & +  1.24 x_{21} & + 23.10 x_{9} & -3.34 x_{4} & +  0.79 x_{18} & -1.96 x_{26} & + 42.42 x_{13} & -2.39 x_{30} & +  4.07 x_{28} & +  0.91 x_{20}\\
 x_{11}   &  1.2892582743 & +  0.02 x_{31} & -0.07 x_{23} & +  0.90 x_{5} & -0.08 x_{8} & -0.19 x_{7} & +  0.79 x_{6} & +  0.02 x_{27} & -0.01 x_{21} & -1.09 x_{9} & -0.90 x_{4} & -0.01 x_{18} & +  0.02 x_{26} & -0.75 x_{13} & +  0.01 x_{30} & -0.05 x_{28} & -0.05 x_{20}\\
 x_{19}   &  37.276882586 & +  0.40 x_{31} & +  2.58 x_{23} & -49.06 x_{5} & -6.33 x_{8} & +  4.77 x_{7} & -36.54 x_{6} & +  1.54 x_{27} & -0.42 x_{21} & + 27.63 x_{9} & + 17.49 x_{4} & -0.11 x_{18} & -1.33 x_{26} & + 29.83 x_{13} & -1.45 x_{30} & +  2.93 x_{28} & +  0.82 x_{20}\\
 x_{16}   &  0.542973126861 & -0.05 x_{31} & -0.06 x_{23} & +  2.45 x_{5} & +  0.78 x_{8} & -0.13 x_{7} & +  1.80 x_{6} & -0.09 x_{27} & -0.00 x_{21} & -0.27 x_{9} & -0.15 x_{4} & -0.01 x_{18} & +  0.02 x_{26} & -0.46 x_{13} & +  0.05 x_{30} & -0.14 x_{28} & -0.05 x_{20}\\
 x_{1}   &  3.29579376762 & +  0.02 x_{31} & +  0.14 x_{23} & -2.75 x_{5} & -0.45 x_{8} & +  0.71 x_{7} & -2.44 x_{6} & +  0.06 x_{27} & -0.04 x_{21} & +  2.41 x_{9} & +  1.53 x_{4} & -0.03 x_{18} & -0.09 x_{26} & +  1.66 x_{13} & -0.06 x_{30} & +  0.19 x_{28} & +  0.07 x_{20}\\
 x_{22}   &  51.858952396 & +  1.29 x_{31} & +  1.66 x_{23} & -48.39 x_{5} & -5.71 x_{8} & +  2.18 x_{7} & -37.62 x_{6} & +  1.46 x_{27} & +  0.48 x_{21} & +  9.53 x_{9} & -1.46 x_{4} & -0.18 x_{18} & -0.27 x_{26} & +  7.31 x_{13} & -1.28 x_{30} & +  2.88 x_{28} & +  0.32 x_{20}\\
 x_{3}   &  1.66842765505 & -0.06 x_{31} & -0.23 x_{23} & +  4.87 x_{5} & +  0.54 x_{8} & -1.07 x_{7} & +  3.58 x_{6} & -0.13 x_{27} & -0.01 x_{21} & -3.23 x_{9} & -1.60 x_{4} & +  0.04 x_{18} & +  0.12 x_{26} & -2.83 x_{13} & +  0.14 x_{30} & -0.26 x_{28} & -0.11 x_{20}\\
 x_{24}   &  28.8893450266 & +  0.69 x_{31} & +  1.06 x_{23} & -48.10 x_{5} & -13.40 x_{8} & + 14.30 x_{7} & -31.73 x_{6} & +  1.45 x_{27} & -0.47 x_{21} & + 10.01 x_{9} & +  7.07 x_{4} & -0.18 x_{18} & -0.51 x_{26} & -0.37 x_{13} & -1.50 x_{30} & +  2.31 x_{28} & +  0.57 x_{20}\\
 x_{14}   &  4.40909363212 & -0.05 x_{31} & -0.12 x_{23} & +  1.23 x_{5} & -0.52 x_{8} & -1.05 x_{7} & +  0.66 x_{6} & -0.04 x_{27} & -0.02 x_{21} & -1.34 x_{9} & -0.32 x_{4} & -0.02 x_{18} & +  0.09 x_{26} & -1.92 x_{13} & +  0.04 x_{30} & -0.07 x_{28} & -0.04 x_{20}\\
 x_{12}   &  1.98508560764 & +  0.02 x_{31} & +  0.03 x_{23} & -0.64 x_{5} & +  0.72 x_{8} & -0.14 x_{7} & +  0.25 x_{6} & +  0.03 x_{27} & +  0.06 x_{21} & -0.16 x_{9} & -0.38 x_{4} & +  0.04 x_{18} & -0.02 x_{26} & +  0.14 x_{13} & +  0.01 x_{30} & +  0.02 x_{28} & -0.03 x_{20}\\
 x_{10}   &  1.16711201474 & -0.09 x_{31} & -0.13 x_{23} & +  3.17 x_{5} & +  0.11 x_{8} & -0.88 x_{7} & +  1.48 x_{6} & -0.08 x_{27} & -0.09 x_{21} & -1.78 x_{9} & -1.23 x_{4} & +  0.00 x_{18} & +  0.10 x_{26} & -2.23 x_{13} & +  0.08 x_{30} & -0.18 x_{28} & -0.06 x_{20}\\
 x_{15}   &  0.588387933703 & +  0.04 x_{31} & +  0.10 x_{23} & -0.62 x_{5} & -0.02 x_{8} & +  0.54 x_{7} & -0.53 x_{6} & -0.01 x_{27} & +  0.03 x_{21} & +  0.92 x_{9} & +  0.63 x_{4} & -0.01 x_{18} & -0.03 x_{26} & +  1.45 x_{13} & -0.00 x_{30} & +  0.05 x_{28} & +  0.03 x_{20}\\
 x_{29}   &  81.1755517786 & -0.73 x_{31} & +  0.43 x_{23} & -15.26 x_{5} & -13.34 x_{8} & -12.12 x_{7} & -15.92 x_{6} & +  0.73 x_{27} & -1.13 x_{21} & +  9.50 x_{9} & + 13.81 x_{4} & -0.41 x_{18} & -0.19 x_{26} & -10.78 x_{13} & -0.47 x_{30} & +  1.24 x_{28} & +  0.46 x_{20}\\
 x_{25}   &  50.6323491461 & +  0.37 x_{31} & +  1.40 x_{23} & -30.16 x_{5} & -4.28 x_{8} & +  1.93 x_{7} & -28.17 x_{6} & +  0.14 x_{27} & +  0.47 x_{21} & + 20.48 x_{9} & + 24.08 x_{4} & -0.09 x_{18} & -0.55 x_{26} & + 15.89 x_{13} & -0.17 x_{30} & +  2.07 x_{28} & +  0.81 x_{20}\\
 x_{2}   &  3.14515955815e-05 & -0.02 x_{31} & -0.03 x_{23} & +  0.78 x_{5} & -0.35 x_{8} & -0.48 x_{7} & +  0.99 x_{6} & -0.02 x_{27} & +  0.00 x_{21} & -0.35 x_{9} & +  0.69 x_{4} & -0.03 x_{18} & -0.01 x_{26} & +  0.11 x_{13} & +  0.04 x_{30} & -0.05 x_{28} & +  0.02 x_{20}\\
 x_{32}   &  58.5001153186 & +  0.74 x_{31} & +  0.91 x_{23} & -16.62 x_{5} & -5.99 x_{8} & +  3.53 x_{7} & -21.15 x_{6} & +  1.49 x_{27} & +  0.03 x_{21} & -5.15 x_{9} & +  1.82 x_{4} & +  0.58 x_{18} & -0.94 x_{26} & +  1.20 x_{13} & -0.60 x_{30} & +  1.55 x_{28} & +  0.16 x_{20}\\
\hline
z    &  5.60680610163 & -0.44 x_{31} & -0.93 x_{23} & + 18.27 x_{5} & -0.53 x_{8} & -10.03 x_{7} & +  0.10 x_{6} & -0.28 x_{27} & -0.53 x_{21} & -11.60 x_{9} & -3.56 x_{4} & -0.34 x_{18} & +  0.71 x_{26} & -17.66 x_{13} & +  0.09 x_{30} & -0.96 x_{28} & -0.44 x_{20}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{17} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.519987359829 & +  0.02 x_{31} & +  0.04 x_{23} & -0.01 x_{17} & +  0.03 x_{8} & +  0.10 x_{7} & -0.50 x_{6} & +  0.03 x_{27} & +  0.01 x_{21} & +  0.26 x_{9} & -0.04 x_{4} & +  0.01 x_{18} & -0.02 x_{26} & +  0.47 x_{13} & -0.03 x_{30} & +  0.04 x_{28} & +  0.01 x_{20}\\
 x_{11}   &  1.75698083715 & +  0.04 x_{31} & -0.03 x_{23} & -0.01 x_{17} & -0.06 x_{8} & -0.10 x_{7} & +  0.34 x_{6} & +  0.05 x_{27} & +  0.00 x_{21} & -0.86 x_{9} & -0.94 x_{4} & -0.01 x_{18} & +  0.00 x_{26} & -0.33 x_{13} & -0.01 x_{30} & -0.01 x_{28} & -0.04 x_{20}\\
 x_{19}   &  11.767435737 & -0.54 x_{31} & +  0.85 x_{23} & +  0.54 x_{17} & -7.72 x_{8} & -0.23 x_{7} & -12.04 x_{6} & -0.02 x_{27} & -1.09 x_{21} & + 15.12 x_{9} & + 19.30 x_{4} & -0.54 x_{18} & -0.27 x_{26} & +  6.85 x_{13} & -0.16 x_{30} & +  0.72 x_{28} & +  0.33 x_{20}\\
 x_{16}   &  1.81457878114 & -0.00 x_{31} & +  0.03 x_{23} & -0.03 x_{17} & +  0.85 x_{8} & +  0.12 x_{7} & +  0.58 x_{6} & -0.02 x_{27} & +  0.03 x_{21} & +  0.35 x_{9} & -0.24 x_{4} & +  0.01 x_{18} & -0.03 x_{26} & +  0.68 x_{13} & -0.01 x_{30} & -0.03 x_{28} & -0.02 x_{20}\\
 x_{1}   &  1.86562768581 & -0.03 x_{31} & +  0.04 x_{23} & +  0.03 x_{17} & -0.52 x_{8} & +  0.43 x_{7} & -1.06 x_{6} & -0.02 x_{27} & -0.08 x_{21} & +  1.70 x_{9} & +  1.63 x_{4} & -0.06 x_{18} & -0.03 x_{26} & +  0.37 x_{13} & +  0.01 x_{30} & +  0.06 x_{28} & +  0.04 x_{20}\\
 x_{22}   &  26.6976727664 & +  0.36 x_{31} & -0.05 x_{23} & +  0.53 x_{17} & -7.08 x_{8} & -2.75 x_{7} & -13.46 x_{6} & -0.07 x_{27} & -0.19 x_{21} & -2.81 x_{9} & +  0.32 x_{4} & -0.60 x_{18} & +  0.78 x_{26} & -15.35 x_{13} & -0.01 x_{30} & +  0.70 x_{28} & -0.16 x_{20}\\
 x_{3}   &  4.20278085794 & +  0.03 x_{31} & -0.05 x_{23} & -0.05 x_{17} & +  0.68 x_{8} & -0.57 x_{7} & +  1.15 x_{6} & +  0.03 x_{27} & +  0.05 x_{21} & -1.99 x_{9} & -1.78 x_{4} & +  0.08 x_{18} & +  0.02 x_{26} & -0.55 x_{13} & +  0.01 x_{30} & -0.04 x_{28} & -0.06 x_{20}\\
 x_{24}   &  3.8769888133 & -0.23 x_{31} & -0.63 x_{23} & +  0.53 x_{17} & -14.76 x_{8} & +  9.40 x_{7} & -7.71 x_{6} & -0.08 x_{27} & -1.13 x_{21} & -2.26 x_{9} & +  8.84 x_{4} & -0.60 x_{18} & +  0.53 x_{26} & -22.90 x_{13} & -0.23 x_{30} & +  0.15 x_{28} & +  0.09 x_{20}\\
 x_{14}   &  5.04713320929 & -0.03 x_{31} & -0.07 x_{23} & -0.01 x_{17} & -0.48 x_{8} & -0.92 x_{7} & +  0.05 x_{6} & -0.00 x_{27} & -0.00 x_{21} & -1.03 x_{9} & -0.36 x_{4} & -0.01 x_{18} & +  0.07 x_{26} & -1.35 x_{13} & +  0.01 x_{30} & -0.01 x_{28} & -0.03 x_{20}\\
 x_{12}   &  1.65455208826 & +  0.01 x_{31} & +  0.01 x_{23} & +  0.01 x_{17} & +  0.70 x_{8} & -0.20 x_{7} & +  0.57 x_{6} & +  0.01 x_{27} & +  0.05 x_{21} & -0.32 x_{9} & -0.36 x_{4} & +  0.04 x_{18} & -0.00 x_{26} & -0.16 x_{13} & +  0.03 x_{30} & -0.01 x_{28} & -0.03 x_{20}\\
 x_{10}   &  2.81651756392 & -0.03 x_{31} & -0.02 x_{23} & -0.04 x_{17} & +  0.20 x_{8} & -0.56 x_{7} & -0.11 x_{6} & +  0.02 x_{27} & -0.04 x_{21} & -0.97 x_{9} & -1.34 x_{4} & +  0.03 x_{18} & +  0.03 x_{26} & -0.74 x_{13} & -0.00 x_{30} & -0.04 x_{28} & -0.03 x_{20}\\
 x_{15}   &  0.266007221943 & +  0.03 x_{31} & +  0.07 x_{23} & +  0.01 x_{17} & -0.03 x_{8} & +  0.48 x_{7} & -0.22 x_{6} & -0.03 x_{27} & +  0.02 x_{21} & +  0.76 x_{9} & +  0.65 x_{4} & -0.02 x_{18} & -0.02 x_{26} & +  1.16 x_{13} & +  0.01 x_{30} & +  0.02 x_{28} & +  0.03 x_{20}\\
 x_{29}   &  73.2412517012 & -1.02 x_{31} & -0.11 x_{23} & +  0.17 x_{17} & -13.78 x_{8} & -13.67 x_{7} & -8.30 x_{6} & +  0.25 x_{27} & -1.34 x_{21} & +  5.60 x_{9} & + 14.37 x_{4} & -0.55 x_{18} & +  0.14 x_{26} & -17.92 x_{13} & -0.07 x_{30} & +  0.56 x_{28} & +  0.31 x_{20}\\
 x_{25}   &  34.9504568341 & -0.21 x_{31} & +  0.34 x_{23} & +  0.33 x_{17} & -5.13 x_{8} & -1.14 x_{7} & -13.12 x_{6} & -0.82 x_{27} & +  0.05 x_{21} & + 12.79 x_{9} & + 25.19 x_{4} & -0.36 x_{18} & +  0.10 x_{26} & +  1.77 x_{13} & +  0.62 x_{30} & +  0.72 x_{28} & +  0.51 x_{20}\\
 x_{2}   &  0.407063654422 & -0.00 x_{31} & -0.01 x_{23} & -0.01 x_{17} & -0.32 x_{8} & -0.40 x_{7} & +  0.60 x_{6} & +  0.01 x_{27} & +  0.01 x_{21} & -0.15 x_{9} & +  0.66 x_{4} & -0.02 x_{18} & -0.02 x_{26} & +  0.48 x_{13} & +  0.02 x_{30} & -0.01 x_{28} & +  0.03 x_{20}\\
 x_{32}   &  49.8594407711 & +  0.42 x_{31} & +  0.32 x_{23} & +  0.18 x_{17} & -6.46 x_{8} & +  1.84 x_{7} & -12.86 x_{6} & +  0.97 x_{27} & -0.20 x_{21} & -9.39 x_{9} & +  2.44 x_{4} & +  0.44 x_{18} & -0.58 x_{26} & -6.59 x_{13} & -0.17 x_{30} & +  0.81 x_{28} & -0.01 x_{20}\\
\hline
z    &  15.1086149186 & -0.09 x_{31} & -0.28 x_{23} & -0.20 x_{17} & -0.02 x_{8} & -8.17 x_{7} & -9.02 x_{6} & +  0.30 x_{27} & -0.28 x_{21} & -6.94 x_{9} & -4.24 x_{4} & -0.19 x_{18} & +  0.31 x_{26} & -9.10 x_{13} & -0.39 x_{30} & -0.14 x_{28} & -0.25 x_{20}\\
\end{array}\]


 $ x_{26} $ enters and $ x_{15} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{5}   &  0.194679452513 & -0.02 x_{31} & -0.06 x_{23} & -0.02 x_{17} & +  0.07 x_{8} & -0.48 x_{7} & -0.23 x_{6} & +  0.07 x_{27} & -0.01 x_{21} & -0.68 x_{9} & -0.83 x_{4} & +  0.03 x_{18} & +  1.22 x_{15} & -0.96 x_{13} & -0.04 x_{30} & +  0.02 x_{28} & -0.02 x_{20}\\
 x_{11}   &  1.81972270717 & +  0.04 x_{31} & -0.02 x_{23} & -0.01 x_{17} & -0.07 x_{8} & +  0.01 x_{7} & +  0.29 x_{6} & +  0.04 x_{27} & +  0.01 x_{21} & -0.68 x_{9} & -0.78 x_{4} & -0.01 x_{18} & -0.24 x_{15} & -0.06 x_{13} & -0.01 x_{30} & -0.00 x_{28} & -0.03 x_{20}\\
 x_{19}   &  7.70899683747 & -1.01 x_{31} & -0.28 x_{23} & +  0.44 x_{17} & -7.19 x_{8} & -7.54 x_{7} & -8.68 x_{6} & +  0.47 x_{27} & -1.38 x_{21} & +  3.46 x_{9} & +  9.37 x_{4} & -0.26 x_{18} & + 15.26 x_{15} & -10.92 x_{13} & -0.36 x_{30} & +  0.40 x_{28} & -0.10 x_{20}\\
 x_{16}   &  1.34147545519 & -0.06 x_{31} & -0.11 x_{23} & -0.04 x_{17} & +  0.91 x_{8} & -0.73 x_{7} & +  0.97 x_{6} & +  0.04 x_{27} & -0.00 x_{21} & -1.01 x_{9} & -1.39 x_{4} & +  0.04 x_{18} & +  1.78 x_{15} & -1.39 x_{13} & -0.04 x_{30} & -0.07 x_{28} & -0.07 x_{20}\\
 x_{1}   &  1.36248217216 & -0.09 x_{31} & -0.09 x_{23} & +  0.02 x_{17} & -0.46 x_{8} & -0.48 x_{7} & -0.65 x_{6} & +  0.04 x_{27} & -0.11 x_{21} & +  0.26 x_{9} & +  0.40 x_{4} & -0.02 x_{18} & +  1.89 x_{15} & -1.83 x_{13} & -0.01 x_{30} & +  0.02 x_{28} & -0.01 x_{20}\\
 x_{22}   &  38.3625792191 & +  1.73 x_{31} & +  3.19 x_{23} & +  0.83 x_{17} & -8.58 x_{8} & + 18.25 x_{7} & -23.12 x_{6} & -1.48 x_{27} & +  0.63 x_{21} & + 30.69 x_{9} & + 28.86 x_{4} & -1.41 x_{18} & -43.85 x_{15} & + 35.71 x_{13} & +  0.57 x_{30} & +  1.63 x_{28} & +  1.06 x_{20}\\
 x_{3}   &  4.46814034181 & +  0.06 x_{31} & +  0.02 x_{23} & -0.05 x_{17} & +  0.65 x_{8} & -0.09 x_{7} & +  0.93 x_{6} & -0.00 x_{27} & +  0.07 x_{21} & -1.22 x_{9} & -1.13 x_{4} & +  0.07 x_{18} & -1.00 x_{15} & +  0.61 x_{13} & +  0.02 x_{30} & -0.02 x_{28} & -0.04 x_{20}\\
 x_{24}   &  11.87141039 & +  0.70 x_{31} & +  1.59 x_{23} & +  0.74 x_{17} & -15.79 x_{8} & + 23.80 x_{7} & -14.32 x_{6} & -1.04 x_{27} & -0.57 x_{21} & + 20.70 x_{9} & + 28.40 x_{4} & -1.15 x_{18} & -30.05 x_{15} & + 12.10 x_{13} & +  0.17 x_{30} & +  0.79 x_{28} & +  0.92 x_{20}\\
 x_{14}   &  6.07004873149 & +  0.09 x_{31} & +  0.21 x_{23} & +  0.01 x_{17} & -0.61 x_{8} & +  0.92 x_{7} & -0.80 x_{6} & -0.12 x_{27} & +  0.07 x_{21} & +  1.91 x_{9} & +  2.14 x_{4} & -0.08 x_{18} & -3.85 x_{15} & +  3.13 x_{13} & +  0.06 x_{30} & +  0.07 x_{28} & +  0.08 x_{20}\\
 x_{12}   &  1.59218286775 & -0.00 x_{31} & -0.01 x_{23} & +  0.01 x_{17} & +  0.71 x_{8} & -0.31 x_{7} & +  0.62 x_{6} & +  0.02 x_{27} & +  0.05 x_{21} & -0.50 x_{9} & -0.51 x_{4} & +  0.04 x_{18} & +  0.23 x_{15} & -0.43 x_{13} & +  0.02 x_{30} & -0.02 x_{28} & -0.04 x_{20}\\
 x_{10}   &  3.23252509632 & +  0.02 x_{31} & +  0.09 x_{23} & -0.02 x_{17} & +  0.15 x_{8} & +  0.19 x_{7} & -0.45 x_{6} & -0.03 x_{27} & -0.01 x_{21} & +  0.22 x_{9} & -0.32 x_{4} & +  0.00 x_{18} & -1.56 x_{15} & +  1.08 x_{13} & +  0.02 x_{30} & -0.01 x_{28} & +  0.02 x_{20}\\
 x_{26}   &  15.009156981 & +  1.76 x_{31} & +  4.17 x_{23} & +  0.39 x_{17} & -1.93 x_{8} & + 27.02 x_{7} & -12.42 x_{6} & -1.81 x_{27} & +  1.05 x_{21} & + 43.11 x_{9} & + 36.72 x_{4} & -1.05 x_{18} & -56.42 x_{15} & + 65.71 x_{13} & +  0.74 x_{30} & +  1.19 x_{28} & +  1.57 x_{20}\\
 x_{29}   &  75.2915034262 & -0.78 x_{31} & +  0.46 x_{23} & +  0.22 x_{17} & -14.04 x_{8} & -9.98 x_{7} & -10.00 x_{6} & +  0.00 x_{27} & -1.19 x_{21} & + 11.49 x_{9} & + 19.39 x_{4} & -0.69 x_{18} & -7.71 x_{15} & -8.95 x_{13} & +  0.04 x_{30} & +  0.72 x_{28} & +  0.52 x_{20}\\
 x_{25}   &  36.4583323443 & -0.03 x_{31} & +  0.76 x_{23} & +  0.37 x_{17} & -5.33 x_{8} & +  1.57 x_{7} & -14.36 x_{6} & -1.00 x_{27} & +  0.16 x_{21} & + 17.12 x_{9} & + 28.88 x_{4} & -0.46 x_{18} & -5.67 x_{15} & +  8.37 x_{13} & +  0.70 x_{30} & +  0.84 x_{28} & +  0.67 x_{20}\\
 x_{2}   &  0.0613604660437 & -0.04 x_{31} & -0.10 x_{23} & -0.02 x_{17} & -0.28 x_{8} & -1.03 x_{7} & +  0.88 x_{6} & +  0.05 x_{27} & -0.01 x_{21} & -1.14 x_{9} & -0.19 x_{4} & +  0.00 x_{18} & +  1.30 x_{15} & -1.03 x_{13} & +  0.00 x_{30} & -0.04 x_{28} & -0.00 x_{20}\\
 x_{32}   &  41.2127353723 & -0.59 x_{31} & -2.08 x_{23} & -0.04 x_{17} & -5.35 x_{8} & -13.73 x_{7} & -5.70 x_{6} & +  2.01 x_{27} & -0.80 x_{21} & -34.22 x_{9} & -18.72 x_{4} & +  1.04 x_{18} & + 32.51 x_{15} & -44.44 x_{13} & -0.59 x_{30} & +  0.12 x_{28} & -0.91 x_{20}\\
\hline
z    &  19.7846352619 & +  0.46 x_{31} & +  1.02 x_{23} & -0.08 x_{17} & -0.62 x_{8} & +  0.25 x_{7} & -12.89 x_{6} & -0.27 x_{27} & +  0.05 x_{21} & +  6.49 x_{9} & +  7.20 x_{4} & -0.51 x_{18} & -17.58 x_{15} & + 11.37 x_{13} & -0.16 x_{30} & +  0.23 x_{28} & +  0.23 x_{20}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  0.233777560827 & -0.02 x_{31} & -0.07 x_{23} & -0.02 x_{17} & +  0.08 x_{8} & -0.58 x_{7} & -0.28 x_{6} & +  0.09 x_{27} & -0.01 x_{21} & -0.82 x_{9} & -1.20 x_{5} & +  0.04 x_{18} & +  1.47 x_{15} & -1.15 x_{13} & -0.05 x_{30} & +  0.02 x_{28} & -0.03 x_{20}\\
 x_{11}   &  1.63657889694 & +  0.06 x_{31} & +  0.03 x_{23} & +  0.01 x_{17} & -0.13 x_{8} & +  0.47 x_{7} & +  0.50 x_{6} & -0.03 x_{27} & +  0.01 x_{21} & -0.05 x_{9} & +  0.94 x_{5} & -0.04 x_{18} & -1.39 x_{15} & +  0.84 x_{13} & +  0.03 x_{30} & -0.02 x_{28} & -0.01 x_{20}\\
 x_{19}   &  9.90003820081 & -1.22 x_{31} & -0.90 x_{23} & +  0.22 x_{17} & -6.41 x_{8} & -12.98 x_{7} & -11.27 x_{6} & +  1.27 x_{27} & -1.48 x_{21} & -4.19 x_{9} & -11.25 x_{5} & +  0.10 x_{18} & + 29.02 x_{15} & -21.68 x_{13} & -0.84 x_{30} & +  0.61 x_{28} & -0.36 x_{20}\\
 x_{16}   &  1.01584428058 & -0.03 x_{31} & -0.01 x_{23} & -0.01 x_{17} & +  0.79 x_{8} & +  0.08 x_{7} & +  1.36 x_{6} & -0.08 x_{27} & +  0.01 x_{21} & +  0.13 x_{9} & +  1.67 x_{5} & -0.01 x_{18} & -0.27 x_{15} & +  0.21 x_{13} & +  0.03 x_{30} & -0.10 x_{28} & -0.03 x_{20}\\
 x_{1}   &  1.45545400022 & -0.10 x_{31} & -0.12 x_{23} & +  0.01 x_{17} & -0.43 x_{8} & -0.71 x_{7} & -0.76 x_{6} & +  0.07 x_{27} & -0.12 x_{21} & -0.07 x_{9} & -0.48 x_{5} & -0.01 x_{18} & +  2.48 x_{15} & -2.29 x_{13} & -0.03 x_{30} & +  0.03 x_{28} & -0.02 x_{20}\\
 x_{22}   &  45.1093063643 & +  1.07 x_{31} & +  1.28 x_{23} & +  0.16 x_{17} & -6.15 x_{8} & +  1.49 x_{7} & -31.09 x_{6} & +  0.98 x_{27} & +  0.32 x_{21} & +  7.15 x_{9} & -34.66 x_{5} & -0.33 x_{18} & -1.47 x_{15} & +  2.59 x_{13} & -0.90 x_{30} & +  2.29 x_{28} & +  0.23 x_{20}\\
 x_{3}   &  4.20380501238 & +  0.09 x_{31} & +  0.09 x_{23} & -0.02 x_{17} & +  0.55 x_{8} & +  0.56 x_{7} & +  1.24 x_{6} & -0.10 x_{27} & +  0.09 x_{21} & -0.30 x_{9} & +  1.36 x_{5} & +  0.02 x_{18} & -2.66 x_{15} & +  1.91 x_{13} & +  0.08 x_{30} & -0.04 x_{28} & -0.00 x_{20}\\
 x_{24}   &  18.510690321 & +  0.06 x_{31} & -0.29 x_{23} & +  0.07 x_{17} & -13.39 x_{8} & +  7.30 x_{7} & -22.17 x_{6} & +  1.38 x_{27} & -0.88 x_{21} & -2.46 x_{9} & -34.10 x_{5} & -0.08 x_{18} & + 11.65 x_{15} & -20.50 x_{13} & -1.28 x_{30} & +  1.44 x_{28} & +  0.11 x_{20}\\
 x_{14}   &  6.57048719589 & +  0.05 x_{31} & +  0.07 x_{23} & -0.04 x_{17} & -0.43 x_{8} & -0.32 x_{7} & -1.39 x_{6} & +  0.06 x_{27} & +  0.05 x_{21} & +  0.16 x_{9} & -2.57 x_{5} & +  0.00 x_{18} & -0.70 x_{15} & +  0.67 x_{13} & -0.05 x_{30} & +  0.12 x_{28} & +  0.02 x_{20}\\
 x_{12}   &  1.47291729303 & +  0.01 x_{31} & +  0.02 x_{23} & +  0.02 x_{17} & +  0.67 x_{8} & -0.02 x_{7} & +  0.76 x_{6} & -0.02 x_{27} & +  0.05 x_{21} & -0.08 x_{9} & +  0.61 x_{5} & +  0.02 x_{18} & -0.51 x_{15} & +  0.15 x_{13} & +  0.05 x_{30} & -0.03 x_{28} & -0.02 x_{20}\\
 x_{10}   &  3.15654868264 & +  0.02 x_{31} & +  0.11 x_{23} & -0.02 x_{17} & +  0.12 x_{8} & +  0.38 x_{7} & -0.36 x_{6} & -0.06 x_{27} & -0.01 x_{21} & +  0.49 x_{9} & +  0.39 x_{5} & -0.01 x_{18} & -2.04 x_{15} & +  1.45 x_{13} & +  0.04 x_{30} & -0.02 x_{28} & +  0.02 x_{20}\\
 x_{26}   &  23.5929469076 & +  0.92 x_{31} & +  1.74 x_{23} & -0.47 x_{17} & +  1.16 x_{8} & +  5.69 x_{7} & -22.57 x_{6} & +  1.32 x_{27} & +  0.65 x_{21} & + 13.16 x_{9} & -44.09 x_{5} & +  0.34 x_{18} & -2.50 x_{15} & + 23.57 x_{13} & -1.13 x_{30} & +  2.03 x_{28} & +  0.51 x_{20}\\
 x_{29}   &  79.8244585757 & -1.22 x_{31} & -0.82 x_{23} & -0.23 x_{17} & -12.41 x_{8} & -21.25 x_{7} & -15.35 x_{6} & +  1.65 x_{27} & -1.40 x_{21} & -4.32 x_{9} & -23.28 x_{5} & +  0.04 x_{18} & + 20.77 x_{15} & -31.20 x_{13} & -0.95 x_{30} & +  1.16 x_{28} & -0.03 x_{20}\\
 x_{25}   &  43.2104989893 & -0.69 x_{31} & -1.15 x_{23} & -0.30 x_{17} & -2.90 x_{8} & -15.21 x_{7} & -22.34 x_{6} & +  1.46 x_{27} & -0.15 x_{21} & -6.44 x_{9} & -34.68 x_{5} & +  0.63 x_{18} & + 36.75 x_{15} & -24.78 x_{13} & -0.77 x_{30} & +  1.50 x_{28} & -0.16 x_{20}\\
 x_{2}   &  0.0176568917211 & -0.04 x_{31} & -0.09 x_{23} & -0.01 x_{17} & -0.29 x_{8} & -0.92 x_{7} & +  0.93 x_{6} & +  0.03 x_{27} & -0.01 x_{21} & -0.99 x_{9} & +  0.22 x_{5} & -0.01 x_{18} & +  1.03 x_{15} & -0.82 x_{13} & +  0.01 x_{30} & -0.04 x_{28} & +  0.00 x_{20}\\
 x_{32}   &  36.8369475137 & -0.17 x_{31} & -0.84 x_{23} & +  0.40 x_{17} & -6.92 x_{8} & -2.85 x_{7} & -0.53 x_{6} & +  0.42 x_{27} & -0.60 x_{21} & -18.96 x_{9} & + 22.48 x_{5} & +  0.33 x_{18} & +  5.02 x_{15} & -22.96 x_{13} & +  0.36 x_{30} & -0.31 x_{28} & -0.37 x_{20}\\
\hline
z    &  21.4680059196 & +  0.29 x_{31} & +  0.54 x_{23} & -0.25 x_{17} & -0.01 x_{8} & -3.94 x_{7} & -14.88 x_{6} & +  0.35 x_{27} & -0.03 x_{21} & +  0.62 x_{9} & -8.65 x_{5} & -0.24 x_{18} & -7.00 x_{15} & +  3.10 x_{13} & -0.52 x_{30} & +  0.40 x_{28} & +  0.03 x_{20}\\
\end{array}\]


 $ x_{9} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  0.219257990774 & +  0.01 x_{31} & +  0.01 x_{23} & -0.01 x_{17} & +  0.33 x_{8} & +  0.17 x_{7} & -1.04 x_{6} & +  0.06 x_{27} & -0.00 x_{21} & +  0.82 x_{2} & -1.39 x_{5} & +  0.04 x_{18} & +  0.63 x_{15} & -0.47 x_{13} & -0.06 x_{30} & +  0.06 x_{28} & -0.03 x_{20}\\
 x_{11}   &  1.63577629704 & +  0.06 x_{31} & +  0.04 x_{23} & +  0.01 x_{17} & -0.12 x_{8} & +  0.51 x_{7} & +  0.46 x_{6} & -0.03 x_{27} & +  0.01 x_{21} & +  0.05 x_{2} & +  0.93 x_{5} & -0.04 x_{18} & -1.43 x_{15} & +  0.88 x_{13} & +  0.03 x_{30} & -0.02 x_{28} & -0.01 x_{20}\\
 x_{19}   &  9.82554026558 & -1.07 x_{31} & -0.52 x_{23} & +  0.27 x_{17} & -5.16 x_{8} & -9.11 x_{7} & -15.21 x_{6} & +  1.12 x_{27} & -1.44 x_{21} & +  4.22 x_{2} & -12.20 x_{5} & +  0.12 x_{18} & + 24.70 x_{15} & -18.22 x_{13} & -0.89 x_{30} & +  0.80 x_{28} & -0.37 x_{20}\\
 x_{16}   &  1.01809436798 & -0.03 x_{31} & -0.03 x_{23} & -0.01 x_{17} & +  0.76 x_{8} & -0.04 x_{7} & +  1.47 x_{6} & -0.07 x_{27} & +  0.01 x_{21} & -0.13 x_{2} & +  1.70 x_{5} & -0.01 x_{18} & -0.14 x_{15} & +  0.10 x_{13} & +  0.04 x_{30} & -0.11 x_{28} & -0.03 x_{20}\\
 x_{1}   &  1.45429095465 & -0.10 x_{31} & -0.12 x_{23} & +  0.01 x_{17} & -0.41 x_{8} & -0.65 x_{7} & -0.82 x_{6} & +  0.07 x_{27} & -0.11 x_{21} & +  0.07 x_{2} & -0.49 x_{5} & -0.01 x_{18} & +  2.41 x_{15} & -2.23 x_{13} & -0.03 x_{30} & +  0.04 x_{28} & -0.02 x_{20}\\
 x_{22}   &  45.236637036 & +  0.80 x_{31} & +  0.64 x_{23} & +  0.07 x_{17} & -8.27 x_{8} & -5.13 x_{7} & -24.36 x_{6} & +  1.23 x_{27} & +  0.26 x_{21} & -7.21 x_{2} & -33.04 x_{5} & -0.36 x_{18} & +  5.92 x_{15} & -3.32 x_{13} & -0.82 x_{30} & +  1.97 x_{28} & +  0.24 x_{20}\\
 x_{3}   &  4.19845292307 & +  0.10 x_{31} & +  0.12 x_{23} & -0.02 x_{17} & +  0.64 x_{8} & +  0.84 x_{7} & +  0.96 x_{6} & -0.11 x_{27} & +  0.09 x_{21} & +  0.30 x_{2} & +  1.29 x_{5} & +  0.02 x_{18} & -2.97 x_{15} & +  2.16 x_{13} & +  0.08 x_{30} & -0.03 x_{28} & -0.00 x_{20}\\
 x_{24}   &  18.4668433096 & +  0.15 x_{31} & -0.07 x_{23} & +  0.11 x_{17} & -12.66 x_{8} & +  9.57 x_{7} & -24.49 x_{6} & +  1.29 x_{27} & -0.86 x_{21} & +  2.48 x_{2} & -34.66 x_{5} & -0.07 x_{18} & +  9.11 x_{15} & -18.46 x_{13} & -1.31 x_{30} & +  1.55 x_{28} & +  0.10 x_{20}\\
 x_{14}   &  6.57341773916 & +  0.04 x_{31} & +  0.05 x_{23} & -0.04 x_{17} & -0.48 x_{8} & -0.48 x_{7} & -1.23 x_{6} & +  0.06 x_{27} & +  0.04 x_{21} & -0.17 x_{2} & -2.53 x_{5} & -0.00 x_{18} & -0.53 x_{15} & +  0.54 x_{13} & -0.05 x_{30} & +  0.11 x_{28} & +  0.02 x_{20}\\
 x_{12}   &  1.471464543 & +  0.01 x_{31} & +  0.03 x_{23} & +  0.02 x_{17} & +  0.69 x_{8} & +  0.06 x_{7} & +  0.69 x_{6} & -0.02 x_{27} & +  0.05 x_{21} & +  0.08 x_{2} & +  0.59 x_{5} & +  0.02 x_{18} & -0.60 x_{15} & +  0.22 x_{13} & +  0.05 x_{30} & -0.03 x_{28} & -0.02 x_{20}\\
 x_{10}   &  3.16524375823 & +  0.01 x_{31} & +  0.07 x_{23} & -0.02 x_{17} & -0.02 x_{8} & -0.07 x_{7} & +  0.10 x_{6} & -0.04 x_{27} & -0.02 x_{21} & -0.49 x_{2} & +  0.50 x_{5} & -0.01 x_{18} & -1.54 x_{15} & +  1.05 x_{13} & +  0.04 x_{30} & -0.04 x_{28} & +  0.03 x_{20}\\
 x_{26}   &  23.8272023246 & +  0.43 x_{31} & +  0.55 x_{23} & -0.64 x_{17} & -2.74 x_{8} & -6.47 x_{7} & -10.19 x_{6} & +  1.77 x_{27} & +  0.54 x_{21} & -13.27 x_{2} & -41.11 x_{5} & +  0.27 x_{18} & + 11.10 x_{15} & + 12.70 x_{13} & -0.97 x_{30} & +  1.44 x_{28} & +  0.53 x_{20}\\
 x_{29}   &  79.7475062714 & -1.06 x_{31} & -0.43 x_{23} & -0.17 x_{17} & -11.12 x_{8} & -17.25 x_{7} & -19.42 x_{6} & +  1.50 x_{27} & -1.37 x_{21} & +  4.36 x_{2} & -24.26 x_{5} & +  0.07 x_{18} & + 16.30 x_{15} & -27.63 x_{13} & -1.01 x_{30} & +  1.36 x_{28} & -0.04 x_{20}\\
 x_{25}   &  43.0958890354 & -0.45 x_{31} & -0.57 x_{23} & -0.22 x_{17} & -0.99 x_{8} & -9.25 x_{7} & -28.40 x_{6} & +  1.23 x_{27} & -0.10 x_{21} & +  6.49 x_{2} & -36.14 x_{5} & +  0.66 x_{18} & + 30.09 x_{15} & -19.46 x_{13} & -0.85 x_{30} & +  1.79 x_{28} & -0.17 x_{20}\\
 x_{9}   &  0.0178011242944 & -0.04 x_{31} & -0.09 x_{23} & -0.01 x_{17} & -0.30 x_{8} & -0.92 x_{7} & +  0.94 x_{6} & +  0.03 x_{27} & -0.01 x_{21} & -1.01 x_{2} & +  0.23 x_{5} & -0.01 x_{18} & +  1.03 x_{15} & -0.83 x_{13} & +  0.01 x_{30} & -0.05 x_{28} & +  0.00 x_{20}\\
 x_{32}   &  36.499494033 & +  0.55 x_{31} & +  0.87 x_{23} & +  0.65 x_{17} & -1.30 x_{8} & + 14.67 x_{7} & -18.35 x_{6} & -0.24 x_{27} & -0.44 x_{21} & + 19.11 x_{2} & + 18.19 x_{5} & +  0.43 x_{18} & -14.57 x_{15} & -7.30 x_{13} & +  0.13 x_{30} & +  0.55 x_{28} & -0.39 x_{20}\\
\hline
z    &  21.4789671757 & +  0.27 x_{31} & +  0.49 x_{23} & -0.26 x_{17} & -0.19 x_{8} & -4.50 x_{7} & -14.30 x_{6} & +  0.37 x_{27} & -0.03 x_{21} & -0.62 x_{2} & -8.51 x_{5} & -0.24 x_{18} & -6.37 x_{15} & +  2.59 x_{13} & -0.52 x_{30} & +  0.37 x_{28} & +  0.03 x_{20}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{9} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  0.209051328533 & +  0.03 x_{31} & +  0.06 x_{23} & -0.00 x_{17} & +  0.50 x_{8} & +  0.70 x_{7} & -1.58 x_{6} & +  0.04 x_{27} & +  0.00 x_{21} & +  1.40 x_{2} & -1.52 x_{5} & +  0.04 x_{18} & +  0.03 x_{15} & +  0.57 x_{9} & -0.07 x_{30} & +  0.09 x_{28} & -0.03 x_{20}\\
 x_{11}   &  1.65473292175 & +  0.02 x_{31} & -0.06 x_{23} & -0.00 x_{17} & -0.44 x_{8} & -0.48 x_{7} & +  1.46 x_{6} & +  0.01 x_{27} & +  0.00 x_{21} & -1.03 x_{2} & +  1.17 x_{5} & -0.05 x_{18} & -0.33 x_{15} & -1.06 x_{9} & +  0.04 x_{30} & -0.07 x_{28} & -0.01 x_{20}\\
 x_{19}   &  9.43297775384 & -0.24 x_{31} & +  1.47 x_{23} & +  0.57 x_{17} & +  1.38 x_{8} & + 11.27 x_{7} & -35.95 x_{6} & +  0.36 x_{27} & -1.25 x_{21} & + 26.45 x_{2} & -17.19 x_{5} & +  0.23 x_{18} & +  1.91 x_{15} & + 22.05 x_{9} & -1.15 x_{30} & +  1.80 x_{28} & -0.39 x_{20}\\
 x_{16}   &  1.02035343591 & -0.04 x_{31} & -0.04 x_{23} & -0.01 x_{17} & +  0.72 x_{8} & -0.16 x_{7} & +  1.59 x_{6} & -0.07 x_{27} & +  0.01 x_{21} & -0.26 x_{2} & +  1.73 x_{5} & -0.01 x_{18} & -0.01 x_{15} & -0.13 x_{9} & +  0.04 x_{30} & -0.11 x_{28} & -0.03 x_{20}\\
 x_{1}   &  1.40614803563 & +  0.00 x_{31} & +  0.13 x_{23} & +  0.04 x_{17} & +  0.40 x_{8} & +  1.85 x_{7} & -3.36 x_{6} & -0.02 x_{27} & -0.09 x_{21} & +  2.79 x_{2} & -1.10 x_{5} & +  0.01 x_{18} & -0.39 x_{15} & +  2.70 x_{9} & -0.07 x_{30} & +  0.16 x_{28} & -0.02 x_{20}\\
 x_{22}   &  45.165171655 & +  0.95 x_{31} & +  1.00 x_{23} & +  0.12 x_{17} & -7.08 x_{8} & -1.41 x_{7} & -28.14 x_{6} & +  1.09 x_{27} & +  0.29 x_{21} & -3.16 x_{2} & -33.95 x_{5} & -0.34 x_{18} & +  1.77 x_{15} & +  4.01 x_{9} & -0.87 x_{30} & +  2.15 x_{28} & +  0.23 x_{20}\\
 x_{3}   &  4.24499225963 & -0.00 x_{31} & -0.11 x_{23} & -0.05 x_{17} & -0.14 x_{8} & -1.57 x_{7} & +  3.42 x_{6} & -0.02 x_{27} & +  0.07 x_{21} & -2.33 x_{2} & +  1.88 x_{5} & +  0.01 x_{18} & -0.27 x_{15} & -2.61 x_{9} & +  0.11 x_{30} & -0.15 x_{28} & -0.00 x_{20}\\
 x_{24}   &  18.0691122415 & +  0.99 x_{31} & +  1.95 x_{23} & +  0.40 x_{17} & -6.03 x_{8} & + 30.23 x_{7} & -45.50 x_{6} & +  0.51 x_{27} & -0.67 x_{21} & + 25.01 x_{2} & -39.72 x_{5} & +  0.05 x_{18} & -13.98 x_{15} & + 22.34 x_{9} & -1.58 x_{30} & +  2.56 x_{28} & +  0.08 x_{20}\\
 x_{14}   &  6.58502391067 & +  0.01 x_{31} & -0.00 x_{23} & -0.05 x_{17} & -0.68 x_{8} & -1.08 x_{7} & -0.62 x_{6} & +  0.09 x_{27} & +  0.04 x_{21} & -0.82 x_{2} & -2.39 x_{5} & -0.00 x_{18} & +  0.14 x_{15} & -0.65 x_{9} & -0.04 x_{30} & +  0.08 x_{28} & +  0.02 x_{20}\\
 x_{12}   &  1.47623733546 & +  0.00 x_{31} & +  0.01 x_{23} & +  0.01 x_{17} & +  0.61 x_{8} & -0.19 x_{7} & +  0.94 x_{6} & -0.01 x_{27} & +  0.05 x_{21} & -0.19 x_{2} & +  0.65 x_{5} & +  0.02 x_{18} & -0.32 x_{15} & -0.27 x_{9} & +  0.05 x_{30} & -0.04 x_{28} & -0.02 x_{20}\\
 x_{10}   &  3.18788663676 & -0.04 x_{31} & -0.04 x_{23} & -0.04 x_{17} & -0.40 x_{8} & -1.25 x_{7} & +  1.30 x_{6} & +  0.01 x_{27} & -0.03 x_{21} & -1.77 x_{2} & +  0.79 x_{5} & -0.02 x_{18} & -0.22 x_{15} & -1.27 x_{9} & +  0.06 x_{30} & -0.09 x_{28} & +  0.03 x_{20}\\
 x_{26}   &  24.1007560059 & -0.15 x_{31} & -0.84 x_{23} & -0.85 x_{17} & -7.30 x_{8} & -20.68 x_{7} & +  4.26 x_{6} & +  2.31 x_{27} & +  0.41 x_{21} & -28.76 x_{2} & -37.64 x_{5} & +  0.19 x_{18} & + 26.98 x_{15} & -15.37 x_{9} & -0.78 x_{30} & +  0.75 x_{28} & +  0.54 x_{20}\\
 x_{29}   &  79.15223383 & +  0.20 x_{31} & +  2.59 x_{23} & +  0.27 x_{17} & -1.20 x_{8} & + 13.66 x_{7} & -50.87 x_{6} & +  0.34 x_{27} & -1.08 x_{21} & + 38.07 x_{2} & -31.83 x_{5} & +  0.24 x_{18} & -18.26 x_{15} & + 33.44 x_{9} & -1.41 x_{30} & +  2.87 x_{28} & -0.08 x_{20}\\
 x_{25}   &  42.6765951667 & +  0.44 x_{31} & +  1.56 x_{23} & +  0.10 x_{17} & +  6.00 x_{8} & + 12.52 x_{7} & -50.55 x_{6} & +  0.42 x_{27} & +  0.10 x_{21} & + 30.24 x_{2} & -41.47 x_{5} & +  0.78 x_{18} & +  5.75 x_{15} & + 23.55 x_{9} & -1.14 x_{30} & +  2.85 x_{28} & -0.19 x_{20}\\
 x_{13}   &  0.0215449357551 & -0.05 x_{31} & -0.11 x_{23} & -0.02 x_{17} & -0.36 x_{8} & -1.12 x_{7} & +  1.14 x_{6} & +  0.04 x_{27} & -0.01 x_{21} & -1.22 x_{2} & +  0.27 x_{5} & -0.01 x_{18} & +  1.25 x_{15} & -1.21 x_{9} & +  0.01 x_{30} & -0.05 x_{28} & +  0.00 x_{20}\\
 x_{32}   &  36.3422719992 & +  0.88 x_{31} & +  1.67 x_{23} & +  0.77 x_{17} & +  1.32 x_{8} & + 22.84 x_{7} & -26.66 x_{6} & -0.55 x_{27} & -0.36 x_{21} & + 28.02 x_{2} & + 16.19 x_{5} & +  0.48 x_{18} & -23.70 x_{15} & +  8.83 x_{9} & +  0.02 x_{30} & +  0.94 x_{28} & -0.40 x_{20}\\
\hline
z    &  21.5348715302 & +  0.15 x_{31} & +  0.20 x_{23} & -0.30 x_{17} & -1.12 x_{8} & -7.41 x_{7} & -11.35 x_{6} & +  0.48 x_{27} & -0.06 x_{21} & -3.79 x_{2} & -7.80 x_{5} & -0.26 x_{18} & -3.12 x_{15} & -3.14 x_{9} & -0.48 x_{30} & +  0.23 x_{28} & +  0.03 x_{20}\\
\end{array}\]


 $ x_{20} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{20}   &  6.90392935385 & +  0.98 x_{31} & +  1.96 x_{23} & -0.16 x_{17} & + 16.39 x_{8} & + 23.22 x_{7} & -52.26 x_{6} & +  1.22 x_{27} & +  0.03 x_{21} & + 46.25 x_{2} & -50.04 x_{5} & +  1.48 x_{18} & +  1.09 x_{15} & + 18.94 x_{9} & -2.24 x_{30} & +  2.82 x_{28} & -33.03 x_{4}\\
 x_{11}   &  1.58848594866 & +  0.01 x_{31} & -0.08 x_{23} & -0.00 x_{17} & -0.59 x_{8} & -0.70 x_{7} & +  1.96 x_{6} & -0.00 x_{27} & +  0.00 x_{21} & -1.47 x_{2} & +  1.65 x_{5} & -0.06 x_{18} & -0.34 x_{15} & -1.25 x_{9} & +  0.06 x_{30} & -0.10 x_{28} & +  0.32 x_{4}\\
 x_{19}   &  6.71109715076 & -0.62 x_{31} & +  0.70 x_{23} & +  0.63 x_{17} & -5.08 x_{8} & +  2.12 x_{7} & -15.34 x_{6} & -0.12 x_{27} & -1.27 x_{21} & +  8.22 x_{2} & +  2.54 x_{5} & -0.35 x_{18} & +  1.47 x_{15} & + 14.59 x_{9} & -0.27 x_{30} & +  0.68 x_{28} & + 13.02 x_{4}\\
 x_{16}   &  0.810050847726 & -0.07 x_{31} & -0.10 x_{23} & -0.01 x_{17} & +  0.22 x_{8} & -0.86 x_{7} & +  3.19 x_{6} & -0.11 x_{27} & +  0.01 x_{21} & -1.66 x_{2} & +  3.25 x_{5} & -0.06 x_{18} & -0.04 x_{15} & -0.70 x_{9} & +  0.11 x_{30} & -0.20 x_{28} & +  1.01 x_{4}\\
 x_{1}   &  1.23567786446 & -0.02 x_{31} & +  0.08 x_{23} & +  0.05 x_{17} & -0.01 x_{8} & +  1.28 x_{7} & -2.07 x_{6} & -0.05 x_{27} & -0.09 x_{21} & +  1.65 x_{2} & +  0.13 x_{5} & -0.03 x_{18} & -0.41 x_{15} & +  2.24 x_{9} & -0.01 x_{30} & +  0.09 x_{28} & +  0.82 x_{4}\\
 x_{22}   &  46.7630561467 & +  1.18 x_{31} & +  1.45 x_{23} & +  0.08 x_{17} & -3.28 x_{8} & +  3.96 x_{7} & -40.24 x_{6} & +  1.37 x_{27} & +  0.30 x_{21} & +  7.54 x_{2} & -45.53 x_{5} & +  0.00 x_{18} & +  2.03 x_{15} & +  8.40 x_{9} & -1.38 x_{30} & +  2.80 x_{28} & -7.64 x_{4}\\
 x_{3}   &  4.23356279224 & -0.00 x_{31} & -0.12 x_{23} & -0.05 x_{17} & -0.16 x_{8} & -1.61 x_{7} & +  3.50 x_{6} & -0.02 x_{27} & +  0.07 x_{21} & -2.41 x_{2} & +  1.96 x_{5} & +  0.01 x_{18} & -0.27 x_{15} & -2.65 x_{9} & +  0.11 x_{30} & -0.15 x_{28} & +  0.05 x_{4}\\
 x_{24}   &  18.5992112868 & +  1.07 x_{31} & +  2.10 x_{23} & +  0.39 x_{17} & -4.78 x_{8} & + 32.01 x_{7} & -49.51 x_{6} & +  0.61 x_{27} & -0.66 x_{21} & + 28.56 x_{2} & -43.56 x_{5} & +  0.16 x_{18} & -13.90 x_{15} & + 23.80 x_{9} & -1.75 x_{30} & +  2.77 x_{28} & -2.54 x_{4}\\
 x_{14}   &  6.6956786777 & +  0.03 x_{31} & +  0.03 x_{23} & -0.05 x_{17} & -0.41 x_{8} & -0.71 x_{7} & -1.46 x_{6} & +  0.11 x_{27} & +  0.04 x_{21} & -0.08 x_{2} & -3.19 x_{5} & +  0.02 x_{18} & +  0.16 x_{15} & -0.35 x_{9} & -0.07 x_{30} & +  0.12 x_{28} & -0.53 x_{4}\\
 x_{12}   &  1.30804720645 & -0.02 x_{31} & -0.04 x_{23} & +  0.02 x_{17} & +  0.21 x_{8} & -0.75 x_{7} & +  2.21 x_{6} & -0.04 x_{27} & +  0.05 x_{21} & -1.31 x_{2} & +  1.87 x_{5} & -0.01 x_{18} & -0.35 x_{15} & -0.73 x_{9} & +  0.11 x_{30} & -0.11 x_{28} & +  0.80 x_{4}\\
 x_{10}   &  3.37325493348 & -0.02 x_{31} & +  0.01 x_{23} & -0.04 x_{17} & +  0.04 x_{8} & -0.63 x_{7} & -0.11 x_{6} & +  0.04 x_{27} & -0.03 x_{21} & -0.53 x_{2} & -0.55 x_{5} & +  0.02 x_{18} & -0.19 x_{15} & -0.76 x_{9} & -0.00 x_{30} & -0.02 x_{28} & -0.89 x_{4}\\
 x_{26}   &  27.8583561878 & +  0.38 x_{31} & +  0.23 x_{23} & -0.94 x_{17} & +  1.62 x_{8} & -8.04 x_{7} & -24.19 x_{6} & +  2.97 x_{27} & +  0.43 x_{21} & -3.59 x_{2} & -64.87 x_{5} & +  1.00 x_{18} & + 27.57 x_{15} & -5.06 x_{9} & -2.00 x_{30} & +  2.29 x_{28} & -17.97 x_{4}\\
 x_{29}   &  78.6267055477 & +  0.12 x_{31} & +  2.44 x_{23} & +  0.28 x_{17} & -2.45 x_{8} & + 11.90 x_{7} & -46.89 x_{6} & +  0.25 x_{27} & -1.08 x_{21} & + 34.55 x_{2} & -28.02 x_{5} & +  0.13 x_{18} & -18.34 x_{15} & + 32.00 x_{9} & -1.24 x_{30} & +  2.65 x_{28} & +  2.51 x_{4}\\
 x_{25}   &  41.3336035854 & +  0.25 x_{31} & +  1.18 x_{23} & +  0.13 x_{17} & +  2.82 x_{8} & +  8.00 x_{7} & -40.38 x_{6} & +  0.18 x_{27} & +  0.10 x_{21} & + 21.24 x_{2} & -31.74 x_{5} & +  0.49 x_{18} & +  5.54 x_{15} & + 19.87 x_{9} & -0.70 x_{30} & +  2.30 x_{28} & +  6.42 x_{4}\\
 x_{13}   &  0.0310871672113 & -0.04 x_{31} & -0.11 x_{23} & -0.02 x_{17} & -0.34 x_{8} & -1.09 x_{7} & +  1.07 x_{6} & +  0.04 x_{27} & -0.01 x_{21} & -1.16 x_{2} & +  0.20 x_{5} & -0.00 x_{18} & +  1.25 x_{15} & -1.18 x_{9} & +  0.01 x_{30} & -0.05 x_{28} & -0.05 x_{4}\\
 x_{32}   &  33.5471038703 & +  0.49 x_{31} & +  0.88 x_{23} & +  0.83 x_{17} & -5.31 x_{8} & + 13.43 x_{7} & -5.50 x_{6} & -1.04 x_{27} & -0.37 x_{21} & +  9.29 x_{2} & + 36.45 x_{5} & -0.12 x_{18} & -24.14 x_{15} & +  1.17 x_{9} & +  0.93 x_{30} & -0.20 x_{28} & + 13.37 x_{4}\\
\hline
z    &  21.7560660556 & +  0.18 x_{31} & +  0.26 x_{23} & -0.30 x_{17} & -0.60 x_{8} & -6.66 x_{7} & -13.03 x_{6} & +  0.52 x_{27} & -0.06 x_{21} & -2.31 x_{2} & -9.40 x_{5} & -0.21 x_{18} & -3.09 x_{15} & -2.53 x_{9} & -0.55 x_{30} & +  0.32 x_{28} & -1.06 x_{4}\\
\end{array}\]


 $ x_{23} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{20}   &  7.47489100873 & +  0.17 x_{31} & -18.37 x_{13} & -0.46 x_{17} & + 10.21 x_{8} & +  3.26 x_{7} & -32.69 x_{6} & +  2.02 x_{27} & -0.16 x_{21} & + 25.01 x_{2} & -46.28 x_{5} & +  1.41 x_{18} & + 24.09 x_{15} & -2.81 x_{9} & -2.03 x_{30} & +  1.89 x_{28} & -33.86 x_{4}\\
 x_{11}   &  1.56630063841 & +  0.04 x_{31} & +  0.71 x_{13} & +  0.01 x_{17} & -0.35 x_{8} & +  0.08 x_{7} & +  1.20 x_{6} & -0.04 x_{27} & +  0.01 x_{21} & -0.65 x_{2} & +  1.51 x_{5} & -0.06 x_{18} & -1.24 x_{15} & -0.40 x_{9} & +  0.05 x_{30} & -0.06 x_{28} & +  0.35 x_{4}\\
 x_{19}   &  6.91533903562 & -0.91 x_{31} & -6.57 x_{13} & +  0.52 x_{17} & -7.29 x_{8} & -5.02 x_{7} & -8.34 x_{6} & +  0.16 x_{27} & -1.33 x_{21} & +  0.62 x_{2} & +  3.88 x_{5} & -0.38 x_{18} & +  9.70 x_{15} & +  6.81 x_{9} & -0.20 x_{30} & +  0.35 x_{28} & + 12.72 x_{4}\\
 x_{16}   &  0.781956673844 & -0.03 x_{31} & +  0.90 x_{13} & +  0.01 x_{17} & +  0.52 x_{8} & +  0.12 x_{7} & +  2.22 x_{6} & -0.15 x_{27} & +  0.02 x_{21} & -0.62 x_{2} & +  3.07 x_{5} & -0.05 x_{18} & -1.17 x_{15} & +  0.37 x_{9} & +  0.09 x_{30} & -0.15 x_{28} & +  1.05 x_{4}\\
 x_{1}   &  1.25920069784 & -0.05 x_{31} & -0.76 x_{13} & +  0.04 x_{17} & -0.26 x_{8} & +  0.45 x_{7} & -1.26 x_{6} & -0.02 x_{27} & -0.10 x_{21} & +  0.78 x_{2} & +  0.29 x_{5} & -0.03 x_{18} & +  0.53 x_{15} & +  1.34 x_{9} & -0.00 x_{30} & +  0.05 x_{28} & +  0.78 x_{4}\\
 x_{22}   &  47.1870356731 & +  0.58 x_{31} & -13.64 x_{13} & -0.14 x_{17} & -7.87 x_{8} & -10.86 x_{7} & -25.70 x_{6} & +  1.97 x_{27} & +  0.16 x_{21} & -8.23 x_{2} & -42.73 x_{5} & -0.06 x_{18} & + 19.10 x_{15} & -7.75 x_{9} & -1.23 x_{30} & +  2.11 x_{28} & -8.27 x_{4}\\
 x_{3}   &  4.19909528509 & +  0.05 x_{31} & +  1.11 x_{13} & -0.03 x_{17} & +  0.21 x_{8} & -0.41 x_{7} & +  2.32 x_{6} & -0.07 x_{27} & +  0.08 x_{21} & -1.13 x_{2} & +  1.74 x_{5} & +  0.01 x_{18} & -1.66 x_{15} & -1.33 x_{9} & +  0.10 x_{30} & -0.10 x_{28} & +  0.11 x_{4}\\
 x_{24}   &  19.2109781453 & +  0.20 x_{31} & -19.68 x_{13} & +  0.07 x_{17} & -11.40 x_{8} & + 10.62 x_{7} & -28.54 x_{6} & +  1.47 x_{27} & -0.87 x_{21} & +  5.81 x_{2} & -39.53 x_{5} & +  0.08 x_{18} & + 10.75 x_{15} & +  0.49 x_{9} & -1.53 x_{30} & +  1.78 x_{28} & -3.43 x_{4}\\
 x_{14}   &  6.70361945541 & +  0.02 x_{31} & -0.26 x_{13} & -0.05 x_{17} & -0.50 x_{8} & -0.98 x_{7} & -1.19 x_{6} & +  0.12 x_{27} & +  0.04 x_{21} & -0.38 x_{2} & -3.14 x_{5} & +  0.02 x_{18} & +  0.48 x_{15} & -0.65 x_{9} & -0.07 x_{30} & +  0.11 x_{28} & -0.54 x_{4}\\
 x_{12}   &  1.296017965 & -0.00 x_{31} & +  0.39 x_{13} & +  0.03 x_{17} & +  0.34 x_{8} & -0.33 x_{7} & +  1.80 x_{6} & -0.06 x_{27} & +  0.06 x_{21} & -0.87 x_{2} & +  1.79 x_{5} & -0.01 x_{18} & -0.83 x_{15} & -0.27 x_{9} & +  0.10 x_{30} & -0.09 x_{28} & +  0.82 x_{4}\\
 x_{10}   &  3.37560669399 & -0.02 x_{31} & -0.08 x_{13} & -0.05 x_{17} & +  0.01 x_{8} & -0.71 x_{7} & -0.03 x_{6} & +  0.04 x_{27} & -0.03 x_{21} & -0.62 x_{2} & -0.54 x_{5} & +  0.02 x_{18} & -0.10 x_{15} & -0.85 x_{9} & -0.00 x_{30} & -0.02 x_{28} & -0.89 x_{4}\\
 x_{26}   &  27.9250686517 & +  0.28 x_{31} & -2.15 x_{13} & -0.97 x_{17} & +  0.90 x_{8} & -10.37 x_{7} & -21.90 x_{6} & +  3.06 x_{27} & +  0.40 x_{21} & -6.07 x_{2} & -64.43 x_{5} & +  0.99 x_{18} & + 30.26 x_{15} & -7.60 x_{9} & -1.98 x_{30} & +  2.18 x_{28} & -18.07 x_{4}\\
 x_{29}   &  79.3386633783 & -0.89 x_{31} & -22.90 x_{13} & -0.09 x_{17} & -10.16 x_{8} & -12.99 x_{7} & -22.47 x_{6} & +  1.25 x_{27} & -1.32 x_{21} & +  8.07 x_{2} & -23.33 x_{5} & +  0.03 x_{18} & + 10.34 x_{15} & +  4.88 x_{9} & -0.97 x_{30} & +  1.49 x_{28} & +  1.47 x_{4}\\
 x_{25}   &  41.6765469393 & -0.24 x_{31} & -11.03 x_{13} & -0.05 x_{17} & -0.90 x_{8} & -3.99 x_{7} & -28.62 x_{6} & +  0.66 x_{27} & -0.02 x_{21} & +  8.49 x_{2} & -29.48 x_{5} & +  0.45 x_{18} & + 19.35 x_{15} & +  6.81 x_{9} & -0.57 x_{30} & +  1.74 x_{28} & +  5.92 x_{4}\\
 x_{23}   &  0.291661762175 & -0.41 x_{31} & -9.38 x_{13} & -0.15 x_{17} & -3.16 x_{8} & -10.20 x_{7} & + 10.00 x_{6} & +  0.41 x_{27} & -0.10 x_{21} & -10.85 x_{2} & +  1.92 x_{5} & -0.04 x_{18} & + 11.75 x_{15} & -11.11 x_{9} & +  0.11 x_{30} & -0.48 x_{28} & -0.43 x_{4}\\
 x_{32}   &  33.8027024018 & +  0.12 x_{31} & -8.22 x_{13} & +  0.70 x_{17} & -8.08 x_{8} & +  4.50 x_{7} & +  3.26 x_{6} & -0.68 x_{27} & -0.46 x_{21} & -0.21 x_{2} & + 38.13 x_{5} & -0.16 x_{18} & -13.85 x_{15} & -8.57 x_{9} & +  1.02 x_{30} & -0.62 x_{28} & + 13.00 x_{4}\\
\hline
z    &  21.8331453972 & +  0.07 x_{31} & -2.48 x_{13} & -0.34 x_{17} & -1.43 x_{8} & -9.36 x_{7} & -10.38 x_{6} & +  0.62 x_{27} & -0.09 x_{21} & -5.17 x_{2} & -8.89 x_{5} & -0.22 x_{18} & +  0.02 x_{15} & -5.47 x_{9} & -0.52 x_{30} & +  0.19 x_{28} & -1.17 x_{4}\\
\end{array}\]


 $ x_{15} $ enters and $ x_{16} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{20}   &  23.5736924887 & -0.40 x_{31} & +  0.24 x_{13} & -0.26 x_{17} & + 20.96 x_{8} & +  5.70 x_{7} & + 13.08 x_{6} & -0.98 x_{27} & +  0.26 x_{21} & + 12.26 x_{2} & + 16.91 x_{5} & +  0.29 x_{18} & -20.59 x_{16} & +  4.73 x_{9} & -0.07 x_{30} & -1.27 x_{28} & -12.30 x_{4}\\
 x_{11}   &  0.73999306873 & +  0.07 x_{31} & -0.24 x_{13} & -0.00 x_{17} & -0.90 x_{8} & -0.05 x_{7} & -1.15 x_{6} & +  0.12 x_{27} & -0.01 x_{21} & +  0.01 x_{2} & -1.74 x_{5} & +  0.00 x_{18} & +  1.06 x_{16} & -0.79 x_{9} & -0.05 x_{30} & +  0.10 x_{28} & -0.76 x_{4}\\
 x_{19}   &  13.3987601663 & -1.14 x_{31} & +  0.92 x_{13} & +  0.60 x_{17} & -2.96 x_{8} & -4.04 x_{7} & + 10.09 x_{6} & -1.04 x_{27} & -1.16 x_{21} & -4.51 x_{2} & + 29.33 x_{5} & -0.83 x_{18} & -8.29 x_{16} & +  9.85 x_{9} & +  0.59 x_{30} & -0.92 x_{28} & + 21.40 x_{4}\\
 x_{15}   &  0.668221389269 & -0.02 x_{31} & +  0.77 x_{13} & +  0.01 x_{17} & +  0.45 x_{8} & +  0.10 x_{7} & +  1.90 x_{6} & -0.12 x_{27} & +  0.02 x_{21} & -0.53 x_{2} & +  2.62 x_{5} & -0.05 x_{18} & -0.85 x_{16} & +  0.31 x_{9} & +  0.08 x_{30} & -0.13 x_{28} & +  0.89 x_{4}\\
 x_{1}   &  1.6158141314 & -0.07 x_{31} & -0.34 x_{13} & +  0.04 x_{17} & -0.03 x_{8} & +  0.51 x_{7} & -0.25 x_{6} & -0.09 x_{27} & -0.09 x_{21} & +  0.49 x_{2} & +  1.69 x_{5} & -0.06 x_{18} & -0.46 x_{16} & +  1.51 x_{9} & +  0.04 x_{30} & -0.02 x_{28} & +  1.26 x_{4}\\
 x_{22}   &  59.9531942367 & +  0.13 x_{31} & +  1.12 x_{13} & +  0.02 x_{17} & +  0.65 x_{8} & -8.93 x_{7} & + 10.59 x_{6} & -0.41 x_{27} & +  0.49 x_{21} & -18.34 x_{2} & +  7.37 x_{5} & -0.94 x_{18} & -16.33 x_{16} & -1.77 x_{9} & +  0.32 x_{30} & -0.39 x_{28} & +  8.83 x_{4}\\
 x_{3}   &  3.09170925124 & +  0.09 x_{31} & -0.17 x_{13} & -0.05 x_{17} & -0.53 x_{8} & -0.58 x_{7} & -0.83 x_{6} & +  0.14 x_{27} & +  0.05 x_{21} & -0.25 x_{2} & -2.61 x_{5} & +  0.09 x_{18} & +  1.42 x_{16} & -1.85 x_{9} & -0.04 x_{30} & +  0.12 x_{28} & -1.38 x_{4}\\
 x_{24}   &  26.3910671155 & -0.05 x_{31} & -11.38 x_{13} & +  0.16 x_{17} & -6.60 x_{8} & + 11.71 x_{7} & -8.12 x_{6} & +  0.13 x_{27} & -0.68 x_{21} & +  0.12 x_{2} & -11.35 x_{5} & -0.42 x_{18} & -9.18 x_{16} & +  3.86 x_{9} & -0.65 x_{30} & +  0.37 x_{28} & +  6.18 x_{4}\\
 x_{14}   &  7.02402774449 & +  0.01 x_{31} & +  0.11 x_{13} & -0.05 x_{17} & -0.28 x_{8} & -0.94 x_{7} & -0.27 x_{6} & +  0.06 x_{27} & +  0.05 x_{21} & -0.63 x_{2} & -1.88 x_{5} & -0.00 x_{18} & -0.41 x_{16} & -0.50 x_{9} & -0.03 x_{30} & +  0.05 x_{28} & -0.11 x_{4}\\
 x_{12}   &  0.739279837308 & +  0.02 x_{31} & -0.26 x_{13} & +  0.02 x_{17} & -0.03 x_{8} & -0.42 x_{7} & +  0.22 x_{6} & +  0.04 x_{27} & +  0.04 x_{21} & -0.43 x_{2} & -0.39 x_{5} & +  0.03 x_{18} & +  0.71 x_{16} & -0.53 x_{9} & +  0.03 x_{30} & +  0.02 x_{28} & +  0.08 x_{4}\\
 x_{10}   &  3.31025841998 & -0.02 x_{31} & -0.15 x_{13} & -0.05 x_{17} & -0.03 x_{8} & -0.72 x_{7} & -0.21 x_{6} & +  0.05 x_{27} & -0.03 x_{21} & -0.57 x_{2} & -0.80 x_{5} & +  0.02 x_{18} & +  0.08 x_{16} & -0.88 x_{9} & -0.01 x_{30} & -0.01 x_{28} & -0.98 x_{4}\\
 x_{26}   &  48.1452742916 & -0.42 x_{31} & + 21.22 x_{13} & -0.72 x_{17} & + 14.40 x_{8} & -7.31 x_{7} & + 35.58 x_{6} & -0.70 x_{27} & +  0.93 x_{21} & -22.08 x_{2} & + 14.93 x_{5} & -0.41 x_{18} & -25.86 x_{16} & +  1.87 x_{9} & +  0.48 x_{30} & -1.79 x_{28} & +  9.01 x_{4}\\
 x_{29}   &  86.2470801804 & -1.13 x_{31} & -14.92 x_{13} & -0.01 x_{17} & -5.54 x_{8} & -11.95 x_{7} & -2.84 x_{6} & -0.04 x_{27} & -1.14 x_{21} & +  2.60 x_{2} & +  3.78 x_{5} & -0.45 x_{18} & -8.83 x_{16} & +  8.12 x_{9} & -0.14 x_{30} & +  0.13 x_{28} & + 10.72 x_{4}\\
 x_{25}   &  54.609167487 & -0.69 x_{31} & +  3.91 x_{13} & +  0.11 x_{17} & +  7.74 x_{8} & -2.03 x_{7} & +  8.14 x_{6} & -1.75 x_{27} & +  0.32 x_{21} & -1.75 x_{2} & + 21.28 x_{5} & -0.45 x_{18} & -16.54 x_{16} & + 12.87 x_{9} & +  1.00 x_{30} & -0.80 x_{28} & + 23.24 x_{4}\\
 x_{23}   &  8.14266136276 & -0.69 x_{31} & -0.31 x_{13} & -0.06 x_{17} & +  2.09 x_{8} & -9.01 x_{7} & + 32.32 x_{6} & -1.05 x_{27} & +  0.11 x_{21} & -17.06 x_{2} & + 32.74 x_{5} & -0.58 x_{18} & -10.04 x_{16} & -7.43 x_{9} & +  1.06 x_{30} & -2.02 x_{28} & + 10.09 x_{4}\\
 x_{32}   &  24.5504954177 & +  0.44 x_{31} & -18.91 x_{13} & +  0.58 x_{17} & -14.26 x_{8} & +  3.10 x_{7} & -23.04 x_{6} & +  1.04 x_{27} & -0.70 x_{21} & +  7.11 x_{2} & +  1.82 x_{5} & +  0.48 x_{18} & + 11.83 x_{16} & -12.91 x_{9} & -0.10 x_{30} & +  1.20 x_{28} & +  0.60 x_{4}\\
\hline
z    &  21.8450604499 & +  0.07 x_{31} & -2.47 x_{13} & -0.34 x_{17} & -1.43 x_{8} & -9.36 x_{7} & -10.35 x_{6} & +  0.62 x_{27} & -0.08 x_{21} & -5.18 x_{2} & -8.85 x_{5} & -0.22 x_{18} & -0.02 x_{16} & -5.46 x_{9} & -0.52 x_{30} & +  0.19 x_{28} & -1.16 x_{4}\\
\end{array}\]


 $ x_{27} $ enters and $ x_{15} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{20}   &  18.3303417518 & -0.21 x_{31} & -5.82 x_{13} & -0.33 x_{17} & + 17.46 x_{8} & +  4.90 x_{7} & -1.83 x_{6} & +  7.85 x_{15} & +  0.13 x_{21} & + 16.41 x_{2} & -3.67 x_{5} & +  0.65 x_{18} & -13.88 x_{16} & +  2.27 x_{9} & -0.71 x_{30} & -0.24 x_{28} & -19.33 x_{4}\\
 x_{11}   &  1.37538039157 & +  0.05 x_{31} & +  0.49 x_{13} & +  0.01 x_{17} & -0.48 x_{8} & +  0.05 x_{7} & +  0.66 x_{6} & -0.95 x_{15} & +  0.01 x_{21} & -0.50 x_{2} & +  0.76 x_{5} & -0.04 x_{18} & +  0.24 x_{16} & -0.49 x_{9} & +  0.03 x_{30} & -0.02 x_{28} & +  0.09 x_{4}\\
 x_{19}   &  7.80063402509 & -0.94 x_{31} & -5.55 x_{13} & +  0.53 x_{17} & -6.70 x_{8} & -4.89 x_{7} & -5.82 x_{6} & +  8.38 x_{15} & -1.31 x_{21} & -0.08 x_{2} & +  7.36 x_{5} & -0.44 x_{18} & -1.13 x_{16} & +  7.22 x_{9} & -0.09 x_{30} & +  0.18 x_{28} & + 13.91 x_{4}\\
 x_{27}   &  5.36577781497 & -0.19 x_{31} & +  6.20 x_{13} & +  0.07 x_{17} & +  3.58 x_{8} & +  0.81 x_{7} & + 15.25 x_{6} & -8.03 x_{15} & +  0.14 x_{21} & -4.25 x_{2} & + 21.06 x_{5} & -0.37 x_{18} & -6.86 x_{16} & +  2.51 x_{9} & +  0.65 x_{30} & -1.05 x_{28} & +  7.19 x_{4}\\
 x_{1}   &  1.14613681519 & -0.05 x_{31} & -0.89 x_{13} & +  0.04 x_{17} & -0.34 x_{8} & +  0.44 x_{7} & -1.59 x_{6} & +  0.70 x_{15} & -0.10 x_{21} & +  0.87 x_{2} & -0.16 x_{5} & -0.02 x_{18} & +  0.14 x_{16} & +  1.29 x_{9} & -0.02 x_{30} & +  0.07 x_{28} & +  0.63 x_{4}\\
 x_{22}   &  57.755076628 & +  0.21 x_{31} & -1.42 x_{13} & -0.01 x_{17} & -0.82 x_{8} & -9.26 x_{7} & +  4.35 x_{6} & +  3.29 x_{15} & +  0.43 x_{21} & -16.60 x_{2} & -1.25 x_{5} & -0.79 x_{18} & -13.51 x_{16} & -2.80 x_{9} & +  0.06 x_{30} & +  0.04 x_{28} & +  5.89 x_{4}\\
 x_{3}   &  3.81883071551 & +  0.06 x_{31} & +  0.67 x_{13} & -0.04 x_{17} & -0.04 x_{8} & -0.47 x_{7} & +  1.24 x_{6} & -1.09 x_{15} & +  0.07 x_{21} & -0.83 x_{2} & +  0.24 x_{5} & +  0.04 x_{18} & +  0.49 x_{16} & -1.51 x_{9} & +  0.05 x_{30} & -0.02 x_{28} & -0.40 x_{4}\\
 x_{24}   &  27.0918440465 & -0.08 x_{31} & -10.57 x_{13} & +  0.17 x_{17} & -6.13 x_{8} & + 11.82 x_{7} & -6.13 x_{6} & -1.05 x_{15} & -0.66 x_{21} & -0.44 x_{2} & -8.60 x_{5} & -0.47 x_{18} & -10.08 x_{16} & +  4.19 x_{9} & -0.57 x_{30} & +  0.23 x_{28} & +  7.12 x_{4}\\
 x_{14}   &  7.33220559002 & -0.00 x_{31} & +  0.47 x_{13} & -0.05 x_{17} & -0.08 x_{8} & -0.89 x_{7} & +  0.60 x_{6} & -0.46 x_{15} & +  0.05 x_{21} & -0.88 x_{2} & -0.67 x_{5} & -0.02 x_{18} & -0.80 x_{16} & -0.36 x_{9} & +  0.00 x_{30} & -0.01 x_{28} & +  0.30 x_{4}\\
 x_{12}   &  0.965297538269 & +  0.01 x_{31} & +  0.00 x_{13} & +  0.02 x_{17} & +  0.12 x_{8} & -0.38 x_{7} & +  0.86 x_{6} & -0.34 x_{15} & +  0.05 x_{21} & -0.61 x_{2} & +  0.50 x_{5} & +  0.01 x_{18} & +  0.42 x_{16} & -0.43 x_{9} & +  0.06 x_{30} & -0.02 x_{28} & +  0.38 x_{4}\\
 x_{10}   &  3.60161597592 & -0.03 x_{31} & +  0.19 x_{13} & -0.04 x_{17} & +  0.16 x_{8} & -0.67 x_{7} & +  0.62 x_{6} & -0.44 x_{15} & -0.02 x_{21} & -0.80 x_{2} & +  0.35 x_{5} & +  0.00 x_{18} & -0.29 x_{16} & -0.75 x_{9} & +  0.03 x_{30} & -0.07 x_{28} & -0.59 x_{4}\\
 x_{26}   &  44.3686525514 & -0.29 x_{31} & + 16.86 x_{13} & -0.77 x_{17} & + 11.88 x_{8} & -7.88 x_{7} & + 24.85 x_{6} & +  5.65 x_{15} & +  0.83 x_{21} & -19.09 x_{2} & +  0.11 x_{5} & -0.15 x_{18} & -21.03 x_{16} & +  0.10 x_{9} & +  0.02 x_{30} & -1.05 x_{28} & +  3.95 x_{4}\\
 x_{29}   &  86.0560370945 & -1.12 x_{31} & -15.14 x_{13} & -0.01 x_{17} & -5.67 x_{8} & -11.98 x_{7} & -3.38 x_{6} & +  0.29 x_{15} & -1.14 x_{21} & +  2.75 x_{2} & +  3.03 x_{5} & -0.44 x_{18} & -8.59 x_{16} & +  8.03 x_{9} & -0.16 x_{30} & +  0.17 x_{28} & + 10.46 x_{4}\\
 x_{25}   &  45.2267200709 & -0.36 x_{31} & -6.93 x_{13} & -0.01 x_{17} & +  1.47 x_{8} & -3.45 x_{7} & -18.53 x_{6} & + 14.04 x_{15} & +  0.07 x_{21} & +  5.67 x_{2} & -15.54 x_{5} & +  0.20 x_{18} & -4.54 x_{16} & +  8.47 x_{9} & -0.14 x_{30} & +  1.04 x_{28} & + 10.68 x_{4}\\
 x_{23}   &  2.49177233896 & -0.49 x_{31} & -6.84 x_{13} & -0.13 x_{17} & -1.69 x_{8} & -9.86 x_{7} & + 16.26 x_{6} & +  8.46 x_{15} & -0.04 x_{21} & -12.59 x_{2} & + 10.56 x_{5} & -0.19 x_{18} & -2.81 x_{16} & -10.08 x_{9} & +  0.38 x_{30} & -0.91 x_{28} & +  2.52 x_{4}\\
 x_{32}   &  30.1354234856 & +  0.25 x_{31} & -12.46 x_{13} & +  0.65 x_{17} & -10.53 x_{8} & +  3.94 x_{7} & -7.16 x_{6} & -8.36 x_{15} & -0.55 x_{21} & +  2.69 x_{2} & + 23.74 x_{5} & +  0.10 x_{18} & +  4.69 x_{16} & -10.29 x_{9} & +  0.58 x_{30} & +  0.10 x_{28} & +  8.08 x_{4}\\
\hline
z    &  25.1837315836 & -0.04 x_{31} & +  1.39 x_{13} & -0.30 x_{17} & +  0.80 x_{8} & -8.85 x_{7} & -0.86 x_{6} & -5.00 x_{15} & +  0.00 x_{21} & -7.83 x_{2} & +  4.26 x_{5} & -0.45 x_{18} & -4.28 x_{16} & -3.90 x_{9} & -0.11 x_{30} & -0.47 x_{28} & +  3.32 x_{4}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{20} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  0.94851933286 & -0.01 x_{31} & -0.30 x_{13} & -0.02 x_{17} & +  0.90 x_{8} & +  0.25 x_{7} & -0.09 x_{6} & +  0.41 x_{15} & +  0.01 x_{21} & +  0.85 x_{2} & -0.19 x_{5} & +  0.03 x_{18} & -0.72 x_{16} & +  0.12 x_{9} & -0.04 x_{30} & -0.01 x_{28} & -0.05 x_{20}\\
 x_{11}   &  1.4643306297 & +  0.05 x_{31} & +  0.46 x_{13} & +  0.01 x_{17} & -0.40 x_{8} & +  0.07 x_{7} & +  0.65 x_{6} & -0.91 x_{15} & +  0.01 x_{21} & -0.42 x_{2} & +  0.74 x_{5} & -0.04 x_{18} & +  0.18 x_{16} & -0.48 x_{9} & +  0.03 x_{30} & -0.02 x_{28} & -0.00 x_{20}\\
 x_{19}   &  20.9906467087 & -1.10 x_{31} & -9.74 x_{13} & +  0.30 x_{17} & +  5.86 x_{8} & -1.36 x_{7} & -7.13 x_{6} & + 14.02 x_{15} & -1.22 x_{21} & + 11.73 x_{2} & +  4.71 x_{5} & +  0.03 x_{18} & -11.12 x_{16} & +  8.86 x_{9} & -0.60 x_{30} & +  0.01 x_{28} & -0.72 x_{20}\\
 x_{27}   &  12.1819542924 & -0.27 x_{31} & +  4.04 x_{13} & -0.06 x_{17} & + 10.08 x_{8} & +  2.64 x_{7} & + 14.57 x_{6} & -5.11 x_{15} & +  0.19 x_{21} & +  1.86 x_{2} & + 19.70 x_{5} & -0.13 x_{18} & -12.02 x_{16} & +  3.36 x_{9} & +  0.39 x_{30} & -1.14 x_{28} & -0.37 x_{20}\\
 x_{1}   &  1.74321732446 & -0.06 x_{31} & -1.08 x_{13} & +  0.02 x_{17} & +  0.23 x_{8} & +  0.60 x_{7} & -1.64 x_{6} & +  0.96 x_{15} & -0.10 x_{21} & +  1.40 x_{2} & -0.28 x_{5} & -0.00 x_{18} & -0.31 x_{16} & +  1.36 x_{9} & -0.04 x_{30} & +  0.06 x_{28} & -0.03 x_{20}\\
 x_{22}   &  63.3392231115 & +  0.14 x_{31} & -3.20 x_{13} & -0.11 x_{17} & +  4.50 x_{8} & -7.77 x_{7} & +  3.79 x_{6} & +  5.68 x_{15} & +  0.47 x_{21} & -11.60 x_{2} & -2.37 x_{5} & -0.59 x_{18} & -17.74 x_{16} & -2.11 x_{9} & -0.16 x_{30} & -0.03 x_{28} & -0.30 x_{20}\\
 x_{3}   &  3.43564039151 & +  0.06 x_{31} & +  0.79 x_{13} & -0.03 x_{17} & -0.41 x_{8} & -0.57 x_{7} & +  1.28 x_{6} & -1.25 x_{15} & +  0.06 x_{21} & -1.17 x_{2} & +  0.32 x_{5} & +  0.03 x_{18} & +  0.78 x_{16} & -1.56 x_{9} & +  0.07 x_{30} & -0.02 x_{28} & +  0.02 x_{20}\\
 x_{24}   &  33.845739071 & -0.15 x_{31} & -12.72 x_{13} & +  0.05 x_{17} & +  0.30 x_{8} & + 13.63 x_{7} & -6.81 x_{6} & +  1.84 x_{15} & -0.61 x_{21} & +  5.61 x_{2} & -9.95 x_{5} & -0.23 x_{18} & -15.19 x_{16} & +  5.02 x_{9} & -0.83 x_{30} & +  0.14 x_{28} & -0.37 x_{20}\\
 x_{14}   &  7.61757373657 & -0.01 x_{31} & +  0.38 x_{13} & -0.05 x_{17} & +  0.19 x_{8} & -0.81 x_{7} & +  0.57 x_{6} & -0.34 x_{15} & +  0.06 x_{21} & -0.62 x_{2} & -0.73 x_{5} & -0.01 x_{18} & -1.02 x_{16} & -0.32 x_{9} & -0.01 x_{30} & -0.02 x_{28} & -0.02 x_{20}\\
 x_{12}   &  1.32505651727 & +  0.01 x_{31} & -0.11 x_{13} & +  0.01 x_{17} & +  0.47 x_{8} & -0.29 x_{7} & +  0.82 x_{6} & -0.18 x_{15} & +  0.05 x_{21} & -0.28 x_{2} & +  0.42 x_{5} & +  0.02 x_{18} & +  0.15 x_{16} & -0.38 x_{9} & +  0.05 x_{30} & -0.03 x_{28} & -0.02 x_{20}\\
 x_{10}   &  3.04437809254 & -0.02 x_{31} & +  0.36 x_{13} & -0.03 x_{17} & -0.37 x_{8} & -0.82 x_{7} & +  0.67 x_{6} & -0.67 x_{15} & -0.02 x_{21} & -1.30 x_{2} & +  0.46 x_{5} & -0.02 x_{18} & +  0.13 x_{16} & -0.82 x_{9} & +  0.05 x_{30} & -0.06 x_{28} & +  0.03 x_{20}\\
 x_{26}   &  48.1149215369 & -0.33 x_{31} & + 15.67 x_{13} & -0.84 x_{17} & + 15.45 x_{8} & -6.88 x_{7} & + 24.47 x_{6} & +  7.26 x_{15} & +  0.86 x_{21} & -15.74 x_{2} & -0.64 x_{5} & -0.02 x_{18} & -23.87 x_{16} & +  0.57 x_{9} & -0.13 x_{30} & -1.10 x_{28} & -0.20 x_{20}\\
 x_{29}   &  95.9820554337 & -1.24 x_{31} & -18.29 x_{13} & -0.19 x_{17} & +  3.79 x_{8} & -9.32 x_{7} & -4.37 x_{6} & +  4.53 x_{15} & -1.08 x_{21} & + 11.64 x_{2} & +  1.05 x_{5} & -0.08 x_{18} & -16.11 x_{16} & +  9.26 x_{9} & -0.54 x_{30} & +  0.04 x_{28} & -0.54 x_{20}\\
 x_{25}   &  55.352398214 & -0.48 x_{31} & -10.14 x_{13} & -0.19 x_{17} & + 11.12 x_{8} & -0.74 x_{7} & -19.54 x_{6} & + 18.38 x_{15} & +  0.14 x_{21} & + 14.74 x_{2} & -17.57 x_{5} & +  0.56 x_{18} & -12.21 x_{16} & +  9.73 x_{9} & -0.53 x_{30} & +  0.91 x_{28} & -0.55 x_{20}\\
 x_{23}   &  4.88038313855 & -0.52 x_{31} & -7.60 x_{13} & -0.17 x_{17} & +  0.59 x_{8} & -9.22 x_{7} & + 16.02 x_{6} & +  9.48 x_{15} & -0.02 x_{21} & -10.45 x_{2} & + 10.08 x_{5} & -0.11 x_{18} & -4.62 x_{16} & -9.78 x_{9} & +  0.28 x_{30} & -0.94 x_{28} & -0.13 x_{20}\\
 x_{32}   &  37.8032761059 & +  0.16 x_{31} & -14.90 x_{13} & +  0.52 x_{17} & -3.23 x_{8} & +  5.99 x_{7} & -7.93 x_{6} & -5.08 x_{15} & -0.50 x_{21} & +  9.56 x_{2} & + 22.20 x_{5} & +  0.37 x_{18} & -1.12 x_{16} & -9.34 x_{9} & +  0.28 x_{30} & +  0.00 x_{28} & -0.42 x_{20}\\
\hline
z    &  28.3290336465 & -0.08 x_{31} & +  0.39 x_{13} & -0.36 x_{17} & +  3.80 x_{8} & -8.01 x_{7} & -1.17 x_{6} & -3.65 x_{15} & +  0.02 x_{21} & -5.01 x_{2} & +  3.63 x_{5} & -0.34 x_{18} & -6.67 x_{16} & -3.51 x_{9} & -0.24 x_{30} & -0.51 x_{28} & -0.17 x_{20}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{25} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  0.350159754344 & -0.01 x_{31} & -0.19 x_{13} & -0.01 x_{17} & +  0.78 x_{8} & +  0.26 x_{7} & +  0.12 x_{6} & +  0.21 x_{15} & +  0.00 x_{21} & +  0.69 x_{2} & +  0.01 x_{25} & +  0.03 x_{18} & -0.59 x_{16} & +  0.01 x_{9} & -0.03 x_{30} & -0.02 x_{28} & -0.05 x_{20}\\
 x_{11}   &  3.7903347261 & +  0.03 x_{31} & +  0.04 x_{13} & -0.00 x_{17} & +  0.07 x_{8} & +  0.04 x_{7} & -0.17 x_{6} & -0.14 x_{15} & +  0.01 x_{21} & +  0.20 x_{2} & -0.04 x_{25} & -0.02 x_{18} & -0.34 x_{16} & -0.07 x_{9} & +  0.01 x_{30} & +  0.02 x_{28} & -0.03 x_{20}\\
 x_{19}   &  35.8398527287 & -1.23 x_{31} & -12.46 x_{13} & +  0.25 x_{17} & +  8.85 x_{8} & -1.56 x_{7} & -12.38 x_{6} & + 18.95 x_{15} & -1.18 x_{21} & + 15.69 x_{2} & -0.27 x_{25} & +  0.18 x_{18} & -14.40 x_{16} & + 11.47 x_{9} & -0.74 x_{30} & +  0.25 x_{28} & -0.87 x_{20}\\
 x_{27}   &  74.2246661858 & -0.81 x_{31} & -7.33 x_{13} & -0.27 x_{17} & + 22.54 x_{8} & +  1.81 x_{7} & -7.33 x_{6} & + 15.48 x_{15} & +  0.35 x_{21} & + 18.38 x_{2} & -1.12 x_{25} & +  0.50 x_{18} & -25.71 x_{16} & + 14.26 x_{9} & -0.21 x_{30} & -0.12 x_{28} & -0.99 x_{20}\\
 x_{1}   &  0.869744989103 & -0.05 x_{31} & -0.92 x_{13} & +  0.03 x_{17} & +  0.05 x_{8} & +  0.61 x_{7} & -1.34 x_{6} & +  0.67 x_{15} & -0.10 x_{21} & +  1.17 x_{2} & +  0.02 x_{25} & -0.01 x_{18} & -0.11 x_{16} & +  1.21 x_{9} & -0.03 x_{30} & +  0.05 x_{28} & -0.02 x_{20}\\
 x_{22}   &  55.8657323849 & +  0.21 x_{31} & -1.83 x_{13} & -0.08 x_{17} & +  3.00 x_{8} & -7.67 x_{7} & +  6.43 x_{6} & +  3.20 x_{15} & +  0.45 x_{21} & -13.59 x_{2} & +  0.14 x_{25} & -0.66 x_{18} & -16.10 x_{16} & -3.42 x_{9} & -0.09 x_{30} & -0.16 x_{28} & -0.23 x_{20}\\
 x_{3}   &  4.44823584333 & +  0.06 x_{31} & +  0.61 x_{13} & -0.03 x_{17} & -0.21 x_{8} & -0.58 x_{7} & +  0.92 x_{6} & -0.92 x_{15} & +  0.07 x_{21} & -0.90 x_{2} & -0.02 x_{25} & +  0.04 x_{18} & +  0.55 x_{16} & -1.38 x_{9} & +  0.06 x_{30} & +  0.00 x_{28} & +  0.01 x_{20}\\
 x_{24}   &  2.50154477395 & +  0.12 x_{31} & -6.97 x_{13} & +  0.15 x_{17} & -6.00 x_{8} & + 14.04 x_{7} & +  4.26 x_{6} & -8.56 x_{15} & -0.70 x_{21} & -2.73 x_{2} & +  0.57 x_{25} & -0.55 x_{18} & -8.28 x_{16} & -0.48 x_{9} & -0.53 x_{30} & -0.37 x_{28} & -0.06 x_{20}\\
 x_{14}   &  5.33252044986 & +  0.01 x_{31} & +  0.80 x_{13} & -0.04 x_{17} & -0.27 x_{8} & -0.78 x_{7} & +  1.38 x_{6} & -1.10 x_{15} & +  0.05 x_{21} & -1.23 x_{2} & +  0.04 x_{25} & -0.04 x_{18} & -0.52 x_{16} & -0.72 x_{9} & +  0.02 x_{30} & -0.05 x_{28} & +  0.01 x_{20}\\
 x_{12}   &  2.66227832101 & -0.01 x_{31} & -0.35 x_{13} & +  0.01 x_{17} & +  0.74 x_{8} & -0.31 x_{7} & +  0.35 x_{6} & +  0.26 x_{15} & +  0.05 x_{21} & +  0.07 x_{2} & -0.02 x_{25} & +  0.04 x_{18} & -0.14 x_{16} & -0.15 x_{9} & +  0.04 x_{30} & -0.00 x_{28} & -0.03 x_{20}\\
 x_{10}   &  4.49127223945 & -0.03 x_{31} & +  0.10 x_{13} & -0.04 x_{17} & -0.08 x_{8} & -0.84 x_{7} & +  0.16 x_{6} & -0.19 x_{15} & -0.02 x_{21} & -0.91 x_{2} & -0.03 x_{25} & -0.00 x_{18} & -0.19 x_{16} & -0.56 x_{9} & +  0.03 x_{30} & -0.04 x_{28} & +  0.02 x_{20}\\
 x_{26}   &  46.0993251882 & -0.32 x_{31} & + 16.04 x_{13} & -0.83 x_{17} & + 15.04 x_{8} & -6.85 x_{7} & + 25.19 x_{6} & +  6.59 x_{15} & +  0.85 x_{21} & -16.27 x_{2} & +  0.04 x_{25} & -0.04 x_{18} & -23.42 x_{16} & +  0.21 x_{9} & -0.11 x_{30} & -1.13 x_{28} & -0.18 x_{20}\\
 x_{29}   &  99.2760420794 & -1.27 x_{31} & -18.89 x_{13} & -0.20 x_{17} & +  4.45 x_{8} & -9.36 x_{7} & -5.53 x_{6} & +  5.63 x_{15} & -1.07 x_{21} & + 12.52 x_{2} & -0.06 x_{25} & -0.05 x_{18} & -16.83 x_{16} & +  9.84 x_{9} & -0.57 x_{30} & +  0.10 x_{28} & -0.57 x_{20}\\
 x_{5}   &  3.15004087299 & -0.03 x_{31} & -0.58 x_{13} & -0.01 x_{17} & +  0.63 x_{8} & -0.04 x_{7} & -1.11 x_{6} & +  1.05 x_{15} & +  0.01 x_{21} & +  0.84 x_{2} & -0.06 x_{25} & +  0.03 x_{18} & -0.69 x_{16} & +  0.55 x_{9} & -0.03 x_{30} & +  0.05 x_{28} & -0.03 x_{20}\\
 x_{23}   &  36.627247486 & -0.79 x_{31} & -13.42 x_{13} & -0.28 x_{17} & +  6.97 x_{8} & -9.65 x_{7} & +  4.81 x_{6} & + 20.02 x_{15} & +  0.06 x_{21} & -2.00 x_{2} & -0.57 x_{25} & +  0.22 x_{18} & -11.62 x_{16} & -4.20 x_{9} & -0.02 x_{30} & -0.41 x_{28} & -0.45 x_{20}\\
 x_{32}   &  107.736370783 & -0.45 x_{31} & -27.71 x_{13} & +  0.28 x_{17} & + 10.82 x_{8} & +  5.06 x_{7} & -32.61 x_{6} & + 18.14 x_{15} & -0.32 x_{21} & + 28.18 x_{2} & -1.26 x_{25} & +  1.08 x_{18} & -16.54 x_{16} & +  2.95 x_{9} & -0.39 x_{30} & +  1.16 x_{28} & -1.12 x_{20}\\
\hline
z    &  39.7605575045 & -0.18 x_{31} & -1.70 x_{13} & -0.40 x_{17} & +  6.10 x_{8} & -8.16 x_{7} & -5.21 x_{6} & +  0.15 x_{15} & +  0.05 x_{21} & -1.96 x_{2} & -0.21 x_{25} & -0.23 x_{18} & -9.19 x_{16} & -1.50 x_{9} & -0.35 x_{30} & -0.32 x_{28} & -0.29 x_{20}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{24} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  0.676924737082 & +  0.01 x_{31} & -1.10 x_{13} & +  0.01 x_{17} & -0.13 x_{24} & +  2.10 x_{7} & +  0.67 x_{6} & -0.91 x_{15} & -0.09 x_{21} & +  0.33 x_{2} & +  0.08 x_{25} & -0.04 x_{18} & -1.67 x_{16} & -0.05 x_{9} & -0.10 x_{30} & -0.07 x_{28} & -0.05 x_{20}\\
 x_{11}   &  3.82045129954 & +  0.03 x_{31} & -0.05 x_{13} & -0.00 x_{17} & -0.01 x_{24} & +  0.21 x_{7} & -0.12 x_{6} & -0.24 x_{15} & +  0.01 x_{21} & +  0.17 x_{2} & -0.04 x_{25} & -0.02 x_{18} & -0.44 x_{16} & -0.08 x_{9} & -0.00 x_{30} & +  0.01 x_{28} & -0.03 x_{20}\\
 x_{19}   &  39.5297676902 & -1.05 x_{31} & -22.74 x_{13} & +  0.48 x_{17} & -1.48 x_{24} & + 19.16 x_{7} & -6.09 x_{6} & +  6.32 x_{15} & -2.21 x_{21} & + 11.65 x_{2} & +  0.57 x_{25} & -0.63 x_{18} & -26.61 x_{16} & + 10.76 x_{9} & -1.52 x_{30} & -0.30 x_{28} & -0.95 x_{20}\\
 x_{27}   &  83.6273801641 & -0.36 x_{31} & -33.54 x_{13} & +  0.31 x_{17} & -3.76 x_{24} & + 54.59 x_{7} & +  8.68 x_{6} & -16.70 x_{15} & -2.27 x_{21} & +  8.10 x_{2} & +  1.01 x_{25} & -1.56 x_{18} & -56.83 x_{16} & + 12.45 x_{9} & -2.19 x_{30} & -1.52 x_{28} & -1.20 x_{20}\\
 x_{1}   &  0.892287561983 & -0.05 x_{31} & -0.98 x_{13} & +  0.03 x_{17} & -0.01 x_{24} & +  0.74 x_{7} & -1.30 x_{6} & +  0.59 x_{15} & -0.11 x_{21} & +  1.14 x_{2} & +  0.02 x_{25} & -0.02 x_{18} & -0.19 x_{16} & +  1.20 x_{9} & -0.04 x_{30} & +  0.05 x_{28} & -0.02 x_{20}\\
 x_{22}   &  57.1179827049 & +  0.27 x_{31} & -5.32 x_{13} & -0.01 x_{17} & -0.50 x_{24} & -0.64 x_{7} & +  8.56 x_{6} & -1.09 x_{15} & +  0.10 x_{21} & -14.96 x_{2} & +  0.42 x_{25} & -0.94 x_{18} & -20.24 x_{16} & -3.66 x_{9} & -0.35 x_{30} & -0.34 x_{28} & -0.26 x_{20}\\
 x_{3}   &  4.36262231483 & +  0.05 x_{31} & +  0.84 x_{13} & -0.04 x_{17} & +  0.03 x_{24} & -1.06 x_{7} & +  0.78 x_{6} & -0.62 x_{15} & +  0.09 x_{21} & -0.81 x_{2} & -0.04 x_{25} & +  0.06 x_{18} & +  0.84 x_{16} & -1.36 x_{9} & +  0.07 x_{30} & +  0.01 x_{28} & +  0.01 x_{20}\\
 x_{8}   &  0.417138022995 & +  0.02 x_{31} & -1.16 x_{13} & +  0.03 x_{17} & -0.17 x_{24} & +  2.34 x_{7} & +  0.71 x_{6} & -1.43 x_{15} & -0.12 x_{21} & -0.46 x_{2} & +  0.09 x_{25} & -0.09 x_{18} & -1.38 x_{16} & -0.08 x_{9} & -0.09 x_{30} & -0.06 x_{28} & -0.01 x_{20}\\
 x_{14}   &  5.22150765989 & +  0.01 x_{31} & +  1.11 x_{13} & -0.05 x_{17} & +  0.04 x_{24} & -1.41 x_{7} & +  1.19 x_{6} & -0.72 x_{15} & +  0.08 x_{21} & -1.11 x_{2} & +  0.02 x_{25} & -0.01 x_{18} & -0.15 x_{16} & -0.70 x_{9} & +  0.04 x_{30} & -0.04 x_{28} & +  0.01 x_{20}\\
 x_{12}   &  2.96901938424 & +  0.01 x_{31} & -1.21 x_{13} & +  0.03 x_{17} & -0.12 x_{24} & +  1.42 x_{7} & +  0.87 x_{6} & -0.79 x_{15} & -0.03 x_{21} & -0.26 x_{2} & +  0.05 x_{25} & -0.03 x_{18} & -1.16 x_{16} & -0.21 x_{9} & -0.03 x_{30} & -0.05 x_{28} & -0.04 x_{20}\\
 x_{10}   &  4.45935865415 & -0.04 x_{31} & +  0.19 x_{13} & -0.04 x_{17} & +  0.01 x_{24} & -1.02 x_{7} & +  0.11 x_{6} & -0.08 x_{15} & -0.01 x_{21} & -0.88 x_{2} & -0.03 x_{25} & +  0.01 x_{18} & -0.08 x_{16} & -0.56 x_{9} & +  0.04 x_{30} & -0.03 x_{28} & +  0.02 x_{20}\\
 x_{26}   &  52.3737423557 & -0.02 x_{31} & -1.45 x_{13} & -0.44 x_{17} & -2.51 x_{24} & + 28.37 x_{7} & + 35.87 x_{6} & -14.89 x_{15} & -0.89 x_{21} & -23.13 x_{2} & +  1.46 x_{25} & -1.41 x_{18} & -44.19 x_{16} & -1.00 x_{9} & -1.43 x_{30} & -2.07 x_{28} & -0.32 x_{20}\\
 x_{29}   &  101.1315082 & -1.18 x_{31} & -24.07 x_{13} & -0.08 x_{17} & -0.74 x_{24} & +  1.05 x_{7} & -2.37 x_{6} & -0.72 x_{15} & -1.58 x_{21} & + 10.49 x_{2} & +  0.36 x_{25} & -0.45 x_{18} & -22.98 x_{16} & +  9.48 x_{9} & -0.97 x_{30} & -0.18 x_{28} & -0.62 x_{20}\\
 x_{5}   &  3.4140252513 & -0.01 x_{31} & -1.31 x_{13} & +  0.01 x_{17} & -0.11 x_{24} & +  1.44 x_{7} & -0.66 x_{6} & +  0.14 x_{15} & -0.07 x_{21} & +  0.55 x_{2} & +  0.00 x_{25} & -0.03 x_{18} & -1.57 x_{16} & +  0.50 x_{9} & -0.09 x_{30} & +  0.01 x_{28} & -0.04 x_{20}\\
 x_{23}   &  39.5329750759 & -0.66 x_{31} & -21.51 x_{13} & -0.10 x_{17} & -1.16 x_{24} & +  6.66 x_{7} & +  9.76 x_{6} & + 10.07 x_{15} & -0.75 x_{21} & -5.17 x_{2} & +  0.08 x_{25} & -0.42 x_{18} & -21.24 x_{16} & -4.76 x_{9} & -0.64 x_{30} & -0.85 x_{28} & -0.51 x_{20}\\
 x_{32}   &  112.251581101 & -0.24 x_{31} & -40.29 x_{13} & +  0.55 x_{17} & -1.80 x_{24} & + 30.41 x_{7} & -24.92 x_{6} & +  2.68 x_{15} & -1.58 x_{21} & + 23.24 x_{2} & -0.24 x_{25} & +  0.09 x_{18} & -31.49 x_{16} & +  2.08 x_{9} & -1.34 x_{30} & +  0.48 x_{28} & -1.22 x_{20}\\
\hline
z    &  42.3036900776 & -0.06 x_{31} & -8.79 x_{13} & -0.24 x_{17} & -1.02 x_{24} & +  6.11 x_{7} & -0.88 x_{6} & -8.56 x_{15} & -0.65 x_{21} & -4.74 x_{2} & +  0.37 x_{25} & -0.78 x_{18} & -17.61 x_{16} & -1.99 x_{9} & -0.88 x_{30} & -0.70 x_{28} & -0.34 x_{20}\\
\end{array}\]


 $ x_{7} $ enters and $ x_{14} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  8.46141279874 & +  0.02 x_{31} & +  0.55 x_{13} & -0.07 x_{17} & -0.06 x_{24} & -1.49 x_{14} & +  2.45 x_{6} & -1.98 x_{15} & +  0.03 x_{21} & -1.32 x_{2} & +  0.11 x_{25} & -0.06 x_{18} & -1.89 x_{16} & -1.10 x_{9} & -0.04 x_{30} & -0.13 x_{28} & -0.04 x_{20}\\
 x_{11}   &  4.5969265584 & +  0.03 x_{31} & +  0.12 x_{13} & -0.01 x_{17} & -0.01 x_{24} & -0.15 x_{14} & +  0.06 x_{6} & -0.35 x_{15} & +  0.02 x_{21} & +  0.01 x_{2} & -0.03 x_{25} & -0.03 x_{18} & -0.46 x_{16} & -0.18 x_{9} & +  0.00 x_{30} & +  0.01 x_{28} & -0.03 x_{20}\\
 x_{19}   &  110.671705348 & -0.94 x_{31} & -7.64 x_{13} & -0.22 x_{17} & -0.87 x_{24} & -13.62 x_{14} & + 10.13 x_{6} & -3.45 x_{15} & -1.11 x_{21} & -3.43 x_{2} & +  0.79 x_{25} & -0.81 x_{18} & -28.63 x_{16} & +  1.20 x_{9} & -0.98 x_{30} & -0.80 x_{28} & -0.82 x_{20}\\
 x_{27}   &  286.371392246 & -0.05 x_{31} & +  9.51 x_{13} & -1.68 x_{17} & -2.04 x_{24} & -38.83 x_{14} & + 54.93 x_{6} & -44.57 x_{15} & +  0.86 x_{21} & -34.88 x_{2} & +  1.63 x_{25} & -2.08 x_{18} & -62.60 x_{16} & -14.78 x_{9} & -0.67 x_{30} & -2.94 x_{28} & -0.82 x_{20}\\
 x_{1}   &  3.62302058972 & -0.04 x_{31} & -0.40 x_{13} & +  0.00 x_{17} & +  0.01 x_{24} & -0.52 x_{14} & -0.68 x_{6} & +  0.22 x_{15} & -0.07 x_{21} & +  0.56 x_{2} & +  0.03 x_{25} & -0.02 x_{18} & -0.27 x_{16} & +  0.84 x_{9} & -0.02 x_{30} & +  0.03 x_{28} & -0.02 x_{20}\\
 x_{22}   &  54.74951046 & +  0.26 x_{31} & -5.82 x_{13} & +  0.02 x_{17} & -0.52 x_{24} & +  0.45 x_{14} & +  8.02 x_{6} & -0.76 x_{15} & +  0.07 x_{21} & -14.45 x_{2} & +  0.41 x_{25} & -0.93 x_{18} & -20.17 x_{16} & -3.34 x_{9} & -0.37 x_{30} & -0.33 x_{28} & -0.26 x_{20}\\
 x_{3}   &  0.417715932553 & +  0.05 x_{31} & +  0.01 x_{13} & -0.00 x_{17} & +  0.00 x_{24} & +  0.76 x_{14} & -0.12 x_{6} & -0.08 x_{15} & +  0.03 x_{21} & +  0.03 x_{2} & -0.05 x_{25} & +  0.07 x_{18} & +  0.95 x_{16} & -0.83 x_{9} & +  0.04 x_{30} & +  0.04 x_{28} & +  0.01 x_{20}\\
 x_{8}   &  9.11354226724 & +  0.03 x_{31} & +  0.68 x_{13} & -0.06 x_{17} & -0.09 x_{24} & -1.67 x_{14} & +  2.69 x_{6} & -2.62 x_{15} & +  0.02 x_{21} & -2.30 x_{2} & +  0.12 x_{25} & -0.11 x_{18} & -1.63 x_{16} & -1.25 x_{9} & -0.02 x_{30} & -0.12 x_{28} & +  0.01 x_{20}\\
 x_{7}   &  3.7136680012 & +  0.01 x_{31} & +  0.79 x_{13} & -0.04 x_{17} & +  0.03 x_{24} & -0.71 x_{14} & +  0.85 x_{6} & -0.51 x_{15} & +  0.06 x_{21} & -0.79 x_{2} & +  0.01 x_{25} & -0.01 x_{18} & -0.11 x_{16} & -0.50 x_{9} & +  0.03 x_{30} & -0.03 x_{28} & +  0.01 x_{20}\\
 x_{12}   &  8.22823954866 & +  0.02 x_{31} & -0.09 x_{13} & -0.02 x_{17} & -0.08 x_{24} & -1.01 x_{14} & +  2.07 x_{6} & -1.51 x_{15} & +  0.05 x_{21} & -1.38 x_{2} & +  0.06 x_{25} & -0.04 x_{18} & -1.31 x_{16} & -0.91 x_{9} & +  0.01 x_{30} & -0.09 x_{28} & -0.03 x_{20}\\
 x_{10}   &  0.664215634899 & -0.04 x_{31} & -0.62 x_{13} & -0.00 x_{17} & -0.02 x_{24} & +  0.73 x_{14} & -0.76 x_{6} & +  0.44 x_{15} & -0.07 x_{21} & -0.07 x_{2} & -0.05 x_{25} & +  0.02 x_{18} & +  0.03 x_{16} & -0.05 x_{9} & +  0.01 x_{30} & -0.00 x_{28} & +  0.01 x_{20}\\
 x_{26}   &  157.728157464 & +  0.14 x_{31} & + 20.92 x_{13} & -1.48 x_{17} & -1.61 x_{24} & -20.18 x_{14} & + 59.90 x_{6} & -29.37 x_{15} & +  0.73 x_{21} & -45.46 x_{2} & +  1.78 x_{25} & -1.68 x_{18} & -47.19 x_{16} & -15.15 x_{9} & -0.64 x_{30} & -2.81 x_{28} & -0.13 x_{20}\\
 x_{29}   &  105.037542438 & -1.17 x_{31} & -23.24 x_{13} & -0.12 x_{17} & -0.71 x_{24} & -0.75 x_{14} & -1.48 x_{6} & -1.26 x_{15} & -1.52 x_{21} & +  9.66 x_{2} & +  0.37 x_{25} & -0.46 x_{18} & -23.09 x_{16} & +  8.95 x_{9} & -0.94 x_{30} & -0.21 x_{28} & -0.61 x_{20}\\
 x_{5}   &  8.76147043115 & -0.01 x_{31} & -0.18 x_{13} & -0.05 x_{17} & -0.06 x_{24} & -1.02 x_{14} & +  0.56 x_{6} & -0.59 x_{15} & +  0.02 x_{21} & -0.58 x_{2} & +  0.02 x_{25} & -0.04 x_{18} & -1.72 x_{16} & -0.22 x_{9} & -0.05 x_{30} & -0.02 x_{28} & -0.03 x_{20}\\
 x_{23}   &  64.2839265305 & -0.62 x_{31} & -16.26 x_{13} & -0.34 x_{17} & -0.95 x_{24} & -4.74 x_{14} & + 15.40 x_{6} & +  6.67 x_{15} & -0.37 x_{21} & -10.42 x_{2} & +  0.16 x_{25} & -0.48 x_{18} & -21.95 x_{16} & -8.09 x_{9} & -0.45 x_{30} & -1.02 x_{28} & -0.47 x_{20}\\
 x_{32}   &  225.181788226 & -0.06 x_{31} & -16.32 x_{13} & -0.55 x_{17} & -0.85 x_{24} & -21.63 x_{14} & +  0.83 x_{6} & -12.84 x_{15} & +  0.17 x_{21} & -0.69 x_{2} & +  0.11 x_{25} & -0.20 x_{18} & -34.70 x_{16} & -13.08 x_{9} & -0.50 x_{30} & -0.31 x_{28} & -1.01 x_{20}\\
\hline
z    &  65.0108255005 & -0.03 x_{31} & -3.97 x_{13} & -0.47 x_{17} & -0.82 x_{24} & -4.35 x_{14} & +  4.30 x_{6} & -11.68 x_{15} & -0.30 x_{21} & -9.56 x_{2} & +  0.44 x_{25} & -0.84 x_{18} & -18.25 x_{16} & -5.04 x_{9} & -0.71 x_{30} & -0.86 x_{28} & -0.30 x_{20}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  10.6015035859 & -0.11 x_{31} & -1.45 x_{13} & -0.08 x_{17} & -0.13 x_{24} & +  0.85 x_{14} & -3.22 x_{10} & -0.57 x_{15} & -0.19 x_{21} & -1.56 x_{2} & -0.04 x_{25} & -0.01 x_{18} & -1.80 x_{16} & -1.25 x_{9} & -0.00 x_{30} & -0.14 x_{28} & -0.01 x_{20}\\
 x_{11}   &  4.64719354144 & +  0.03 x_{31} & +  0.07 x_{13} & -0.01 x_{17} & -0.01 x_{24} & -0.09 x_{14} & -0.08 x_{10} & -0.32 x_{15} & +  0.01 x_{21} & +  0.00 x_{2} & -0.04 x_{25} & -0.02 x_{18} & -0.46 x_{16} & -0.18 x_{9} & +  0.01 x_{30} & +  0.01 x_{28} & -0.03 x_{20}\\
 x_{19}   &  119.528733634 & -1.49 x_{31} & -15.90 x_{13} & -0.26 x_{17} & -1.13 x_{24} & -3.93 x_{14} & -13.33 x_{10} & +  2.37 x_{15} & -2.05 x_{21} & -4.41 x_{2} & +  0.19 x_{25} & -0.59 x_{18} & -28.27 x_{16} & +  0.58 x_{9} & -0.82 x_{30} & -0.86 x_{28} & -0.69 x_{20}\\
 x_{27}   &  334.376635796 & -3.01 x_{31} & -35.26 x_{13} & -1.87 x_{17} & -3.44 x_{24} & + 13.70 x_{14} & -72.27 x_{10} & -13.01 x_{15} & -4.21 x_{21} & -40.21 x_{2} & -1.63 x_{25} & -0.91 x_{18} & -60.61 x_{16} & -18.13 x_{9} & +  0.22 x_{30} & -3.28 x_{28} & -0.13 x_{20}\\
 x_{1}   &  3.03309093738 & -0.01 x_{31} & +  0.15 x_{13} & +  0.00 x_{17} & +  0.03 x_{24} & -1.17 x_{14} & +  0.89 x_{10} & -0.17 x_{15} & -0.00 x_{21} & +  0.63 x_{2} & +  0.07 x_{25} & -0.04 x_{18} & -0.29 x_{16} & +  0.88 x_{9} & -0.03 x_{30} & +  0.03 x_{28} & -0.03 x_{20}\\
 x_{22}   &  61.7580189461 & -0.17 x_{31} & -12.36 x_{13} & -0.01 x_{17} & -0.73 x_{24} & +  8.12 x_{14} & -10.55 x_{10} & +  3.84 x_{15} & -0.67 x_{21} & -15.23 x_{2} & -0.06 x_{25} & -0.76 x_{18} & -19.88 x_{16} & -3.83 x_{9} & -0.24 x_{30} & -0.38 x_{28} & -0.16 x_{20}\\
 x_{3}   &  0.308848366549 & +  0.05 x_{31} & +  0.11 x_{13} & -0.00 x_{17} & +  0.00 x_{24} & +  0.64 x_{14} & +  0.16 x_{10} & -0.15 x_{15} & +  0.04 x_{21} & +  0.04 x_{2} & -0.04 x_{25} & +  0.06 x_{18} & +  0.94 x_{16} & -0.83 x_{9} & +  0.04 x_{30} & +  0.04 x_{28} & +  0.00 x_{20}\\
 x_{8}   &  11.4679113378 & -0.11 x_{31} & -1.51 x_{13} & -0.07 x_{17} & -0.16 x_{24} & +  0.91 x_{14} & -3.54 x_{10} & -1.08 x_{15} & -0.23 x_{21} & -2.56 x_{2} & -0.04 x_{25} & -0.06 x_{18} & -1.53 x_{16} & -1.41 x_{9} & +  0.02 x_{30} & -0.14 x_{28} & +  0.04 x_{20}\\
 x_{7}   &  4.45396900927 & -0.04 x_{31} & +  0.10 x_{13} & -0.04 x_{17} & +  0.01 x_{24} & +  0.10 x_{14} & -1.11 x_{10} & -0.02 x_{15} & -0.02 x_{21} & -0.87 x_{2} & -0.04 x_{25} & +  0.01 x_{18} & -0.08 x_{16} & -0.55 x_{9} & +  0.04 x_{30} & -0.03 x_{28} & +  0.02 x_{20}\\
 x_{12}   &  10.0394735071 & -0.10 x_{31} & -1.78 x_{13} & -0.03 x_{17} & -0.13 x_{24} & +  0.97 x_{14} & -2.73 x_{10} & -0.32 x_{15} & -0.14 x_{21} & -1.58 x_{2} & -0.06 x_{25} & +  0.00 x_{18} & -1.23 x_{16} & -1.04 x_{9} & +  0.04 x_{30} & -0.10 x_{28} & -0.00 x_{20}\\
 x_{6}   &  0.873939907161 & -0.05 x_{31} & -0.82 x_{13} & -0.00 x_{17} & -0.03 x_{24} & +  0.96 x_{14} & -1.32 x_{10} & +  0.57 x_{15} & -0.09 x_{21} & -0.10 x_{2} & -0.06 x_{25} & +  0.02 x_{18} & +  0.04 x_{16} & -0.06 x_{9} & +  0.02 x_{30} & -0.01 x_{28} & +  0.01 x_{20}\\
 x_{26}   &  210.078330031 & -3.08 x_{31} & -27.90 x_{13} & -1.69 x_{17} & -3.15 x_{24} & + 37.11 x_{14} & -78.82 x_{10} & +  5.04 x_{15} & -4.79 x_{21} & -51.28 x_{2} & -1.77 x_{25} & -0.41 x_{18} & -45.02 x_{16} & -18.80 x_{9} & +  0.34 x_{30} & -3.18 x_{28} & +  0.63 x_{20}\\
 x_{29}   &  103.744227608 & -1.09 x_{31} & -22.03 x_{13} & -0.12 x_{17} & -0.67 x_{24} & -2.16 x_{14} & +  1.95 x_{10} & -2.11 x_{15} & -1.39 x_{21} & +  9.80 x_{2} & +  0.46 x_{25} & -0.50 x_{18} & -23.14 x_{16} & +  9.04 x_{9} & -0.96 x_{30} & -0.20 x_{28} & -0.63 x_{20}\\
 x_{5}   &  9.24847588594 & -0.04 x_{31} & -0.63 x_{13} & -0.05 x_{17} & -0.07 x_{24} & -0.49 x_{14} & -0.73 x_{10} & -0.27 x_{15} & -0.03 x_{21} & -0.64 x_{2} & -0.01 x_{25} & -0.03 x_{18} & -1.70 x_{16} & -0.25 x_{9} & -0.04 x_{30} & -0.03 x_{28} & -0.02 x_{20}\\
 x_{23}   &  77.7458666698 & -1.45 x_{31} & -28.81 x_{13} & -0.40 x_{17} & -1.35 x_{24} & +  9.99 x_{14} & -20.27 x_{10} & + 15.52 x_{15} & -1.79 x_{21} & -11.92 x_{2} & -0.75 x_{25} & -0.16 x_{18} & -21.39 x_{16} & -9.03 x_{9} & -0.20 x_{30} & -1.12 x_{28} & -0.27 x_{20}\\
 x_{32}   &  225.911255324 & -0.11 x_{31} & -17.00 x_{13} & -0.55 x_{17} & -0.87 x_{24} & -20.83 x_{14} & -1.10 x_{10} & -12.36 x_{15} & +  0.09 x_{21} & -0.77 x_{2} & +  0.06 x_{25} & -0.18 x_{18} & -34.67 x_{16} & -13.13 x_{9} & -0.48 x_{30} & -0.31 x_{28} & -1.00 x_{20}\\
\hline
z    &  68.7717321077 & -0.26 x_{31} & -7.47 x_{13} & -0.48 x_{17} & -0.93 x_{24} & -0.23 x_{14} & -5.66 x_{10} & -9.21 x_{15} & -0.70 x_{21} & -9.98 x_{2} & +  0.18 x_{25} & -0.75 x_{18} & -18.10 x_{16} & -5.30 x_{9} & -0.64 x_{30} & -0.89 x_{28} & -0.25 x_{20}\\
\end{array}\]


 $ x_{25} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  10.3364180781 & -0.15 x_{31} & -1.54 x_{13} & -0.08 x_{17} & -0.13 x_{24} & +  0.30 x_{14} & -3.36 x_{10} & -0.44 x_{15} & -0.23 x_{21} & -1.59 x_{2} & +  0.86 x_{3} & -0.07 x_{18} & -2.61 x_{16} & -0.54 x_{9} & -0.04 x_{30} & -0.18 x_{28} & -0.01 x_{20}\\
 x_{11}   &  4.38391496136 & -0.01 x_{31} & -0.02 x_{13} & -0.01 x_{17} & -0.01 x_{24} & -0.64 x_{14} & -0.22 x_{10} & -0.19 x_{15} & -0.02 x_{21} & -0.04 x_{2} & +  0.85 x_{3} & -0.08 x_{18} & -1.26 x_{16} & +  0.52 x_{9} & -0.03 x_{30} & -0.03 x_{28} & -0.03 x_{20}\\
 x_{19}   &  120.878275555 & -1.26 x_{31} & -15.42 x_{13} & -0.26 x_{17} & -1.11 x_{24} & -1.15 x_{14} & -12.62 x_{10} & +  1.70 x_{15} & -1.87 x_{21} & -4.23 x_{2} & -4.37 x_{3} & -0.32 x_{18} & -24.14 x_{16} & -3.03 x_{9} & -0.63 x_{30} & -0.68 x_{28} & -0.67 x_{20}\\
 x_{27}   &  322.56298062 & -4.99 x_{31} & -39.39 x_{13} & -1.85 x_{17} & -3.59 x_{24} & -10.64 x_{14} & -78.54 x_{10} & -7.18 x_{15} & -5.79 x_{21} & -41.83 x_{2} & + 38.25 x_{3} & -3.31 x_{18} & -96.73 x_{16} & + 13.50 x_{9} & -1.42 x_{30} & -4.89 x_{28} & -0.27 x_{20}\\
 x_{1}   &  3.53753539892 & +  0.08 x_{31} & +  0.33 x_{13} & +  0.00 x_{17} & +  0.04 x_{24} & -0.13 x_{14} & +  1.16 x_{10} & -0.42 x_{15} & +  0.06 x_{21} & +  0.70 x_{2} & -1.63 x_{3} & +  0.06 x_{18} & +  1.25 x_{16} & -0.47 x_{9} & +  0.04 x_{30} & +  0.10 x_{28} & -0.02 x_{20}\\
 x_{22}   &  61.2872458774 & -0.25 x_{31} & -12.52 x_{13} & -0.01 x_{17} & -0.73 x_{24} & +  7.15 x_{14} & -10.80 x_{10} & +  4.08 x_{15} & -0.73 x_{21} & -15.30 x_{2} & +  1.52 x_{3} & -0.86 x_{18} & -21.32 x_{16} & -2.57 x_{9} & -0.30 x_{30} & -0.44 x_{28} & -0.17 x_{20}\\
 x_{25}   &  7.26971856108 & +  1.22 x_{31} & +  2.54 x_{13} & -0.01 x_{17} & +  0.09 x_{24} & + 14.98 x_{14} & +  3.86 x_{10} & -3.59 x_{15} & +  0.97 x_{21} & +  1.00 x_{2} & -23.54 x_{3} & +  1.47 x_{18} & + 22.23 x_{16} & -19.46 x_{9} & +  1.01 x_{30} & +  0.99 x_{28} & +  0.09 x_{20}\\
 x_{8}   &  11.1876882731 & -0.16 x_{31} & -1.61 x_{13} & -0.07 x_{17} & -0.17 x_{24} & +  0.33 x_{14} & -3.69 x_{10} & -0.94 x_{15} & -0.27 x_{21} & -2.60 x_{2} & +  0.91 x_{3} & -0.11 x_{18} & -2.39 x_{16} & -0.66 x_{9} & -0.02 x_{30} & -0.18 x_{28} & +  0.04 x_{20}\\
 x_{7}   &  4.17203115888 & -0.09 x_{31} & -0.00 x_{13} & -0.04 x_{17} & +  0.01 x_{24} & -0.48 x_{14} & -1.26 x_{10} & +  0.12 x_{15} & -0.06 x_{21} & -0.91 x_{2} & +  0.91 x_{3} & -0.05 x_{18} & -0.94 x_{16} & +  0.20 x_{9} & +  0.00 x_{30} & -0.07 x_{28} & +  0.01 x_{20}\\
 x_{12}   &  9.59277844627 & -0.17 x_{31} & -1.94 x_{13} & -0.03 x_{17} & -0.14 x_{24} & +  0.05 x_{14} & -2.96 x_{10} & -0.10 x_{15} & -0.20 x_{21} & -1.64 x_{2} & +  1.45 x_{3} & -0.09 x_{18} & -2.60 x_{16} & +  0.16 x_{9} & -0.02 x_{30} & -0.16 x_{28} & -0.01 x_{20}\\
 x_{6}   &  0.442516659299 & -0.13 x_{31} & -0.97 x_{13} & -0.00 x_{17} & -0.03 x_{24} & +  0.07 x_{14} & -1.54 x_{10} & +  0.79 x_{15} & -0.15 x_{21} & -0.16 x_{2} & +  1.40 x_{3} & -0.07 x_{18} & -1.28 x_{16} & +  1.09 x_{9} & -0.04 x_{30} & -0.06 x_{28} & +  0.01 x_{20}\\
 x_{26}   &  197.194777167 & -5.25 x_{31} & -32.41 x_{13} & -1.67 x_{17} & -3.31 x_{24} & + 10.56 x_{14} & -85.65 x_{10} & + 11.39 x_{15} & -6.52 x_{21} & -53.05 x_{2} & + 41.71 x_{3} & -3.02 x_{18} & -84.41 x_{16} & + 15.69 x_{9} & -1.46 x_{30} & -4.93 x_{28} & +  0.47 x_{20}\\
 x_{29}   &  107.091295519 & -0.53 x_{31} & -20.86 x_{13} & -0.12 x_{17} & -0.63 x_{24} & +  4.73 x_{14} & +  3.72 x_{10} & -3.76 x_{15} & -0.94 x_{21} & + 10.26 x_{2} & -10.84 x_{3} & +  0.18 x_{18} & -12.91 x_{16} & +  0.08 x_{9} & -0.50 x_{30} & +  0.26 x_{28} & -0.59 x_{20}\\
 x_{5}   &  9.14902623022 & -0.05 x_{31} & -0.67 x_{13} & -0.05 x_{17} & -0.08 x_{24} & -0.70 x_{14} & -0.79 x_{10} & -0.22 x_{15} & -0.05 x_{21} & -0.65 x_{2} & +  0.32 x_{3} & -0.05 x_{18} & -2.00 x_{16} & +  0.02 x_{9} & -0.05 x_{30} & -0.04 x_{28} & -0.02 x_{20}\\
 x_{23}   &  72.2691909431 & -2.37 x_{31} & -30.73 x_{13} & -0.39 x_{17} & -1.42 x_{24} & -1.29 x_{14} & -23.17 x_{10} & + 18.22 x_{15} & -2.52 x_{21} & -12.67 x_{2} & + 17.73 x_{3} & -1.27 x_{18} & -38.13 x_{16} & +  5.63 x_{9} & -0.96 x_{30} & -1.86 x_{28} & -0.34 x_{20}\\
 x_{32}   &  226.336411711 & -0.03 x_{31} & -16.85 x_{13} & -0.56 x_{17} & -0.86 x_{24} & -19.95 x_{14} & -0.87 x_{10} & -12.57 x_{15} & +  0.15 x_{21} & -0.72 x_{2} & -1.38 x_{3} & -0.09 x_{18} & -33.37 x_{16} & -14.27 x_{9} & -0.42 x_{30} & -0.25 x_{28} & -0.99 x_{20}\\
\hline
z    &  70.1094660378 & -0.03 x_{31} & -7.01 x_{13} & -0.48 x_{17} & -0.92 x_{24} & +  2.52 x_{14} & -4.95 x_{10} & -9.87 x_{15} & -0.52 x_{21} & -9.79 x_{2} & -4.33 x_{3} & -0.48 x_{18} & -14.01 x_{16} & -8.88 x_{9} & -0.46 x_{30} & -0.70 x_{28} & -0.23 x_{20}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{4}   &  12.4365778299 & -0.16 x_{31} & -1.55 x_{13} & -0.08 x_{17} & -0.14 x_{24} & -0.48 x_{11} & -3.47 x_{10} & -0.53 x_{15} & -0.24 x_{21} & -1.61 x_{2} & +  1.27 x_{3} & -0.10 x_{18} & -3.22 x_{16} & -0.29 x_{9} & -0.05 x_{30} & -0.19 x_{28} & -0.03 x_{20}\\
 x_{14}   &  6.89093171313 & -0.02 x_{31} & -0.03 x_{13} & -0.01 x_{17} & -0.02 x_{24} & -1.57 x_{11} & -0.34 x_{10} & -0.29 x_{15} & -0.04 x_{21} & -0.06 x_{2} & +  1.34 x_{3} & -0.12 x_{18} & -1.98 x_{16} & +  0.82 x_{9} & -0.05 x_{30} & -0.05 x_{28} & -0.05 x_{20}\\
 x_{19}   &  112.939145532 & -1.23 x_{31} & -15.39 x_{13} & -0.25 x_{17} & -1.09 x_{24} & +  1.81 x_{11} & -12.23 x_{10} & +  2.04 x_{15} & -1.82 x_{21} & -4.16 x_{2} & -5.91 x_{3} & -0.18 x_{18} & -21.86 x_{16} & -3.97 x_{9} & -0.58 x_{30} & -0.62 x_{28} & -0.62 x_{20}\\
 x_{27}   &  249.2428398 & -4.75 x_{31} & -39.07 x_{13} & -1.72 x_{17} & -3.42 x_{24} & + 16.72 x_{11} & -74.94 x_{10} & -4.05 x_{15} & -5.40 x_{21} & -41.24 x_{2} & + 23.99 x_{3} & -2.01 x_{18} & -75.65 x_{16} & +  4.80 x_{9} & -0.90 x_{30} & -4.38 x_{28} & +  0.22 x_{20}\\
 x_{1}   &  2.64783097427 & +  0.08 x_{31} & +  0.33 x_{13} & +  0.01 x_{17} & +  0.04 x_{24} & +  0.20 x_{11} & +  1.20 x_{10} & -0.38 x_{15} & +  0.07 x_{21} & +  0.71 x_{2} & -1.81 x_{3} & +  0.08 x_{18} & +  1.51 x_{16} & -0.58 x_{9} & +  0.05 x_{30} & +  0.11 x_{28} & -0.02 x_{20}\\
 x_{22}   &  110.576356436 & -0.41 x_{31} & -12.74 x_{13} & -0.10 x_{17} & -0.85 x_{24} & -11.24 x_{11} & -13.22 x_{10} & +  1.97 x_{15} & -1.00 x_{21} & -15.70 x_{2} & + 11.11 x_{3} & -1.73 x_{18} & -35.50 x_{16} & +  3.27 x_{9} & -0.65 x_{30} & -0.79 x_{28} & -0.50 x_{20}\\
 x_{25}   &  110.490545425 & +  0.88 x_{31} & +  2.08 x_{13} & -0.20 x_{17} & -0.15 x_{24} & -23.55 x_{11} & -1.21 x_{10} & -8.00 x_{15} & +  0.43 x_{21} & +  0.16 x_{2} & -3.47 x_{3} & -0.34 x_{18} & -7.46 x_{16} & -7.22 x_{9} & +  0.28 x_{30} & +  0.27 x_{28} & -0.61 x_{20}\\
 x_{8}   &  13.4852080433 & -0.17 x_{31} & -1.62 x_{13} & -0.07 x_{17} & -0.17 x_{24} & -0.52 x_{11} & -3.81 x_{10} & -1.04 x_{15} & -0.28 x_{21} & -2.62 x_{2} & +  1.35 x_{3} & -0.15 x_{18} & -3.05 x_{16} & -0.39 x_{9} & -0.03 x_{30} & -0.19 x_{28} & +  0.02 x_{20}\\
 x_{7}   &  0.850116837973 & -0.08 x_{31} & +  0.01 x_{13} & -0.03 x_{17} & +  0.01 x_{24} & +  0.76 x_{11} & -1.10 x_{10} & +  0.26 x_{15} & -0.04 x_{21} & -0.88 x_{2} & +  0.27 x_{3} & +  0.01 x_{18} & +  0.02 x_{16} & -0.19 x_{9} & +  0.03 x_{30} & -0.05 x_{28} & +  0.04 x_{20}\\
 x_{12}   &  9.96720984017 & -0.17 x_{31} & -1.94 x_{13} & -0.03 x_{17} & -0.14 x_{24} & -0.09 x_{11} & -2.98 x_{10} & -0.12 x_{15} & -0.20 x_{21} & -1.64 x_{2} & +  1.52 x_{3} & -0.10 x_{18} & -2.71 x_{16} & +  0.20 x_{9} & -0.02 x_{30} & -0.16 x_{28} & -0.01 x_{20}\\
 x_{6}   &  0.906809193126 & -0.13 x_{31} & -0.97 x_{13} & -0.00 x_{17} & -0.03 x_{24} & -0.11 x_{11} & -1.57 x_{10} & +  0.77 x_{15} & -0.15 x_{21} & -0.16 x_{2} & +  1.49 x_{3} & -0.07 x_{18} & -1.42 x_{16} & +  1.15 x_{9} & -0.05 x_{30} & -0.07 x_{28} & +  0.00 x_{20}\\
 x_{26}   &  269.973514046 & -5.49 x_{31} & -32.73 x_{13} & -1.80 x_{17} & -3.48 x_{24} & -16.60 x_{11} & -89.23 x_{10} & +  8.28 x_{15} & -6.90 x_{21} & -53.64 x_{2} & + 55.87 x_{3} & -4.30 x_{18} & -105.34 x_{16} & + 24.32 x_{9} & -1.97 x_{30} & -5.44 x_{28} & -0.02 x_{20}\\
 x_{29}   &  139.708299092 & -0.64 x_{31} & -21.00 x_{13} & -0.18 x_{17} & -0.70 x_{24} & -7.44 x_{11} & +  2.12 x_{10} & -5.16 x_{15} & -1.11 x_{21} & + 10.00 x_{2} & -4.49 x_{3} & -0.39 x_{18} & -22.29 x_{16} & +  3.95 x_{9} & -0.73 x_{30} & +  0.03 x_{28} & -0.81 x_{20}\\
 x_{5}   &  4.35210513097 & -0.04 x_{31} & -0.65 x_{13} & -0.04 x_{17} & -0.06 x_{24} & +  1.09 x_{11} & -0.55 x_{10} & -0.02 x_{15} & -0.02 x_{21} & -0.61 x_{2} & -0.61 x_{3} & +  0.04 x_{18} & -0.62 x_{16} & -0.55 x_{9} & -0.02 x_{30} & -0.01 x_{28} & +  0.01 x_{20}\\
 x_{23}   &  63.3529442987 & -2.34 x_{31} & -30.69 x_{13} & -0.37 x_{17} & -1.39 x_{24} & +  2.03 x_{11} & -22.74 x_{10} & + 18.60 x_{15} & -2.47 x_{21} & -12.59 x_{2} & + 16.00 x_{3} & -1.11 x_{18} & -35.57 x_{16} & +  4.58 x_{9} & -0.90 x_{30} & -1.80 x_{28} & -0.28 x_{20}\\
 x_{32}   &  88.8373228814 & +  0.43 x_{31} & -16.24 x_{13} & -0.31 x_{17} & -0.54 x_{24} & + 31.36 x_{11} & +  5.88 x_{10} & -6.69 x_{15} & +  0.87 x_{21} & +  0.40 x_{2} & -28.11 x_{3} & +  2.33 x_{18} & +  6.18 x_{16} & -30.58 x_{9} & +  0.55 x_{30} & +  0.70 x_{28} & -0.06 x_{20}\\
\hline
z    &  87.4957000139 & -0.09 x_{31} & -7.08 x_{13} & -0.51 x_{17} & -0.96 x_{24} & -3.97 x_{11} & -5.81 x_{10} & -10.61 x_{15} & -0.61 x_{21} & -9.93 x_{2} & -0.95 x_{3} & -0.78 x_{18} & -19.01 x_{16} & -6.82 x_{9} & -0.58 x_{30} & -0.82 x_{28} & -0.35 x_{20}\\
\end{array}\]
Final Dictionary
Solution:  87.4957000139
Num Pivots:  23
\end{document}
